Find the equations of tangent and normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,y_1)`

Find the equations of tangent and normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,y_1)`
by

1 Answer

Answer :

Find the equations of tangent and normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,y_1)`
by

Related questions

The slope of one of the common tangent to circle `x^(2)+y^(2)=1` and ellipse `x^(2)/4+2y^(2)=1` is `sqrt(a/b)` where `gcd(a, b)=1` then `(a+b)/2` is e

Description : The slope of one of the common tangent to circle `x^(2)+y^(2)=1` and ellipse `x^(2)/4+2y^(2)=1` is `sqrt(a/b)` where `gcd(a, b)=1` then `(a+b)/2` is e

Last Answer : The slope of one of the common tangent to circle `x^(2)+y^(2)=1` and ellipse `x^(2)/4+2y^(2)=1` is ` ... `gcd(a, b)=1` then `(a+b)/2` is equal to

`x_1 ,x_2` are the `x^2-3x+A= 0; x_3 , x_4` are roots of the equation `x^2-12x + B =0` of the equation `x_1 ,x_2 ,x_3 , x_4` form in increasing `GP`.,

Description : `x_1 ,x_2` are the `x^2-3x+A= 0; x_3 , x_4` are roots of the equation `x^2-12x + B =0` of the equation `x_1 ,x_2 ,x_3 , x_4` form in increasing `GP`.,

Last Answer : `x_1 ,x_2` are the `x^2-3x+A= 0; x_3 , x_4` are roots of the equation `x^2-12x + B =0` of the equation `x_1 ... x_(1) + x_(3) =5` D. `x_(2)+x_(4)=10`

Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[15 -2]+u[1 4 2]. Tangent vector for line L1 a.2i+2j-6k b.2i+2j+6k c.2i-2j-6k d.6-2j-2k

Description : Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[15 -2]+u[1 4 2]. Tangent vector for line L1 a.2i+2j-6k b.2i+2j+6k c.2i-2j-6k d.6-2j-2k

Last Answer : a.2i+2j-6k

The normal at a point `P` on the ellipse `x^2+4y^2=16` meets the x-axis at `Qdot` If `M` is the midpoint of the line segment `P Q ,` then the locus of

Description : The normal at a point `P` on the ellipse `x^2+4y^2=16` meets the x-axis at `Qdot` If `M` is the midpoint of the line segment `P Q ,` then the locus of

Last Answer : The normal at a point `P` on the ellipse `x^2+4y^2=16` meets the x-axis at `Qdot` If `M` is ... (pm2sqrt3,pmsqrt1/7)` D. `(pm2sqrt3,pm(4sqrt(3))/4)`

If harmonic motion of same frequency and same phase are superimposed in two perpendicular directions ( x and y) then, the resultant motion will be, A) circle B) An ellipse C) An square D) An rectangle

Description : If harmonic motion of same frequency and same phase are superimposed in two perpendicular directions ( x and y) then, the resultant motion will be, A) circle B) An ellipse C) An square D) An rectangle

Last Answer : C) An square

Assuming constant gravity and no air resistance, the path of a cannonball fired from a cannon is: w) a semi-circle x) an ellipse y) a parabola z) a hyperbola

Description : Assuming constant gravity and no air resistance, the path of a cannonball fired from a cannon is: w) a semi-circle x) an ellipse y) a parabola z) a hyperbola

Last Answer : ANSWER: Y -- A PARABOLA 

The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is (A) Circle (B) Parabola (C) Ellipse (D) Straight line

Description : The locus of the end point of the resultant of the normal and tangential components of the stress  on an inclined plane, is  (A) Circle  (B) Parabola  (C) Ellipse  (D) Straight line 

Last Answer : (C) Ellipse 

Equation of tangent of the curve `y = 1 - e^(x//2)` at that point at which the curve crosses the y-axis, is :

Description : Equation of tangent of the curve `y = 1 - e^(x//2)` at that point at which the curve crosses the y-axis, is :

Last Answer : Equation of tangent of the curve `y = 1 - e^(x//2)` at that point at which the curve crosses the y-axis, is ... `2x+y = 1` C. `x=-2y` D. None of these

Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4`

Description : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4`

Last Answer : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4` A. ` ... 1+sqrt2)x+(sqrt2-1) pi` D. None of the above

Find the equation of tangent of the curve `9x^(2)+16y^(2) = 144` at those points at which tangents are parallel to (i) X-axis, (ii) Y-axis.

Description : Find the equation of tangent of the curve `9x^(2)+16y^(2) = 144` at those points at which tangents are parallel to (i) X-axis, (ii) Y-axis.

Last Answer : Find the equation of tangent of the curve `9x^(2)+16y^(2) = 144` at those points at which tangents are parallel to (i) X-axis, (ii) Y-axis.

Find the equation of tangent of the curve ` x^(2)+y^(2)=5` at point (1, 2).

Description : Find the equation of tangent of the curve ` x^(2)+y^(2)=5` at point (1, 2).

Last Answer : Find the equation of tangent of the curve ` x^(2)+y^(2)=5` at point (1, 2).

Find the point on the curve` y^(2) = x` at which the tangent drawn makes an angle of `45^(@)` from X-axis.

Description : Find the point on the curve` y^(2) = x` at which the tangent drawn makes an angle of `45^(@)` from X-axis.

Last Answer : Find the point on the curve` y^(2) = x` at which the tangent drawn makes an angle of `45^(@)` from X-axis.

Find the co-ordinates of that point on the curve `x^(2)/a^(2)+y^(2)/b^(2) = 1` at which the tangent drawn is parallel to Y-axis.

Description : Find the co-ordinates of that point on the curve `x^(2)/a^(2)+y^(2)/b^(2) = 1` at which the tangent drawn is parallel to Y-axis.

Last Answer : Find the co-ordinates of that point on the curve `x^(2)/a^(2)+y^(2)/b^(2) = 1` at which the tangent drawn is parallel to Y-axis.

Find the co-ordinates of that point on the curve`y^(2)=x^(2)(1-x)` at which the tangent drawn is perpendicular to X-axis.

Description : Find the co-ordinates of that point on the curve`y^(2)=x^(2)(1-x)` at which the tangent drawn is perpendicular to X-axis.

Last Answer : Find the co-ordinates of that point on the curve`y^(2)=x^(2)(1-x)` at which the tangent drawn is perpendicular to X-axis.

Find the co-ordinates of that point on the curve `x^(3)+y^(3)= a^(3)` at which the tangent drawn is parallel to X-axis.

Description : Find the co-ordinates of that point on the curve `x^(3)+y^(3)= a^(3)` at which the tangent drawn is parallel to X-axis.

Last Answer : Find the co-ordinates of that point on the curve `x^(3)+y^(3)= a^(3)` at which the tangent drawn is parallel to X-axis.

What are the values of x y and k when the line y equals 3x plus 1 is a tangent to the circle x squared plus y squared equals k?

Description : What are the values of x y and k when the line y equals 3x plus 1 is a tangent to the circle x squared plus y squared equals k?

Last Answer : If y = 3x + 1 is a tangent to x² + y² = k (k > 0 since it isa square), then where they meet has a repeated root; they meetat:x² + (3x + 1)² = k→ x² + 9x² + 6x + 1 - k = 0→ 10x² + 6x + (1 - k) = 0This is the ... 3/10→ y = 3 -3/10 + 1 = 9/10 + 1 = 1/10→ point of contact is (-3/10, 1/10) with k = 1/10

What is the point of contact when the tangent line y equals x plus c touches the circle x squared plus y squared equals 4?

Description : What is the point of contact when the tangent line y equals x plus c touches the circle x squared plus y squared equals 4?

Last Answer : The line meets the circle when:y = x + c→ x² + y² = 4→ x² + (x + c)² - 4 = 0→ x² + x² +2cx + c² - 4 = 0→ 2x² + 2cx + (c² - 4) = 0If the line is a tangent to the circle, this has a repeatedroot. This occurs ... 2 = 0→ (x + √2)² = 0→ x = -√2→ y = x + 2√2= -√2 + 2√2= √2→ point of contact is (-√2, √2)

A satellite travels at a constant speed in a circular orbit. The acceleration of the satellite is w) zero x) toward the center of the orbit y) away from the center of the orbit z) at a tangent to the orbit

Description : A satellite travels at a constant speed in a circular orbit. The acceleration of the satellite is w) zero x) toward the center of the orbit y) away from the center of the orbit z) at a tangent to the orbit

Last Answer : ANSWER: X -- TOWARD THE CENTER OF THE ORBIT

For an object moving in uniform circular motion, the direction of the instantaneous acceleration vector is: w) tangent to the path of motion x) equal to zero y) directed radially outward z) directed radially inward

Description : For an object moving in uniform circular motion, the direction of the instantaneous acceleration vector is: w) tangent to the path of motion x) equal to zero y) directed radially outward z) directed radially inward

Last Answer : ANSWER: Z -- DIRECTED RADIALLY INWARD

In the bezier curve, the curve is always________to first and last segments of the polygon a.normal b.parallel c.tangent d.none of the above

Description : In the bezier curve, the curve is always________to first and last segments of the polygon a.normal b.parallel c.tangent d.none of the above

Last Answer : c.tangent

C” continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Description : C” continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Last Answer : a.Common tangent

C‘ continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Description : C‘ continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Last Answer : b.Common curvature

C0 continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Description : C0 continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Last Answer : c.Common point

In the bezier curve, the curve is always to first and last segments of thepolygon a.normal b.parallel c.tangent d.none of the above

Description : In the bezier curve, the curve is always to first and last segments of thepolygon a.normal b.parallel c.tangent d.none of the above

Last Answer : c.tangent

The coefficient of friction is a.The tangent of the angle between the normal reaction and direction of limiting friction b.The tangent of the angle between the normal reaction and the resultant of the normal reaction and the limiting friction c.The tangent of the angle of the net resultant force with the direction of motion d.The tangent of the angle between the horizontal plane and the resultant force e.The angle between the normal reaction and the resultant of normal reaction and the limiting friction

Description : The coefficient of friction is a.The tangent of the angle between the normal reaction and direction of limiting friction b.The tangent of the angle between the normal reaction and the resultant ... e.The angle between the normal reaction and the resultant of normal reaction and the limiting friction

Last Answer : a. The tangent of the angle between the normal reaction and direction of limiting friction

Field which does not have magnetic poles is A. straight lined B. normal to the wire C. tangent to the wire D. circular

Description : Field which does not have magnetic poles is A. straight lined B. normal to the wire C. tangent to the wire D. circular

Last Answer :  circular

Centripetal force is directed towards the A. tangent to circle B. center C. normal to circle D. parallel to circl

Description : Centripetal force is directed towards the A. tangent to circle B. center C. normal to circle D. parallel to circl

Last Answer : center

Kinetic friction is the (A) Tangent of angle between normal reaction and the resultant of normal reaction and the limiting friction (B) Ratio of limiting friction and normal reaction (C) The friction force acting when the body is just about to move (D) The friction force acting when the body is in motion

Description : Kinetic friction is the (A) Tangent of angle between normal reaction and the resultant of normal reaction and the limiting friction (B) Ratio of limiting friction and normal reaction (C) The friction force ... body is just about to move (D) The friction force acting when the body is in motion

Last Answer : (D) The friction force acting when the body is in motion

Limiting force of friction is the (A) Tangent of angle between normal reaction and the resultant of normal reaction and limiting friction (B) Ratio of limiting friction and normal reaction(C) The friction force acting when the body is just about to move (D) The friction force acting when the body is in motion

Description : Limiting force of friction is the (A) Tangent of angle between normal reaction and the resultant of normal reaction and limiting friction (B) Ratio of limiting friction and normal reaction (C) The friction ... body is just about to move (D) The friction force acting when the body is in motion

Last Answer : (C) The friction force acting when the body is just about to move

The ellipse `x^2+""4y^2=""4` is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes t

Description : The ellipse `x^2+""4y^2=""4` is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes t

Last Answer : The ellipse `x^2+""4y^2=""4` is inscribed in a rectangle aligned with the coordinate axes, which in turn is ... 4x^2+48y^2=48` D. `4x^2+64y^2=48`

Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.

Description : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.

Last Answer : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.

What is the solution when y equals 2x plus 1 is a tangent to the circle 5y2 plus 5x2 equals 1?

Description : What is the solution when y equals 2x plus 1 is a tangent to the circle 5y2 plus 5x2 equals 1?

Last Answer : If y = 2x+1 is a tangent line to the circle 5y^2 +5x^2 = 1 thenthe point of contact is at (-2/5, 1/5) because it has equalroots

What is the value of y when y equals 2x plus 1.25 is a tangent to the curve y squared equals 10x?

Description : What is the value of y when y equals 2x plus 1.25 is a tangent to the curve y squared equals 10x?

Last Answer : If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x thenit works out that when x = 5/8 then y = 5/2

In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Description : In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Last Answer : Following are the rational numbers which represent irrational numbers .

How many linear equations in x and y can be satisfied by x = 1 and y = 2 ? -Maths 9th

Description : How many linear equations in x and y can be satisfied by x = 1 and y = 2 ? -Maths 9th

Last Answer : (c) Let the linear equation be ax + by + c = 0. On putting x = 1 and y = 2, in above equation we get =s a + 2b + c = 0, where a, b and c, are real number Here, different values of a, b and ... a + 2b + c = 0. Hence, infinitely many linear equations in x and yean be satisfied by x = 1 and y = 2.

Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th

Description : Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th

Last Answer : The given equation is y = x. To draw the graph of this equations, we need atleast two points lying on the given line. For x = 1, y = 1, therefore (1,1) satisfies the linear equation y = x. For x = 4, y = 4, ... of y = - x. We observe that, the line y = x and y = - x intersect at the point 0(0, 0).

In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Description : In the following equations , find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers -Maths 9th

Last Answer : Following are the rational numbers which represent irrational numbers .

How many linear equations in x and y can be satisfied by x = 1 and y = 2 ? -Maths 9th

Description : How many linear equations in x and y can be satisfied by x = 1 and y = 2 ? -Maths 9th

Last Answer : (c) Let the linear equation be ax + by + c = 0. On putting x = 1 and y = 2, in above equation we get =s a + 2b + c = 0, where a, b and c, are real number Here, different values of a, b and ... a + 2b + c = 0. Hence, infinitely many linear equations in x and yean be satisfied by x = 1 and y = 2.

Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th

Description : Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. -Maths 9th

Last Answer : The given equation is y = x. To draw the graph of this equations, we need atleast two points lying on the given line. For x = 1, y = 1, therefore (1,1) satisfies the linear equation y = x. For x = 4, y = 4, ... of y = - x. We observe that, the line y = x and y = - x intersect at the point 0(0, 0).

How many linear equations satisfy x = 2 and y = -3? -Maths 9th

Description : How many linear equations satisfy x = 2 and y = -3? -Maths 9th

Last Answer : Solution :- Infinitely many equations.

Draw the graph of the following equations (1) Y =3x+2 (b) Y=x -Maths 9th

Description : Draw the graph of the following equations (1) Y =3x+2 (b) Y=x -Maths 9th

Last Answer : This answer was deleted by our moderators...

Solve the following equations for x and y. log100 |x+y| = 1/2, -Maths 9th

Description : Solve the following equations for x and y. log100 |x+y| = 1/2, -Maths 9th

Last Answer : (b) \(\bigg(rac{10}{3},rac{20}{3}\bigg)\). (+ 10, 20) log100 |x+y| = \(rac{1}{2}\) ⇒ |x + y| = 100\(^{rac{1}{2}}\)⇒ |x + y| = 10 as (-10 is inadmissible) ...(i) log10y - log10| x | = log1004⇒ log10 ... x < 0, then x = 10.∴ If x = \(rac{10}{3}\), then y = \(rac{20}{3}\) and if x = 10, y = 20.

What is the angle between the lines whose equations are: 3x + y – 7 = 0 and x + 2y + 9 = 0. -Maths 9th

Description : What is the angle between the lines whose equations are: 3x + y – 7 = 0 and x + 2y + 9 = 0. -Maths 9th

Last Answer : (c) (8, 6)Let AB be the given line 4x + 3y = 25 Let O′(a, b) be the image of O in the given line AB. Let O O′ cut AB in point P. Also OP ⊥ AB and P is the mid-point of OO′. ∴ Co-ordinates of P are \(\bigg( ... 4 imes6}{3}\) = 8∴ The image of the point O(0, 0) in the line 4x + 3y - 25 = 0 is (8, 6).

Find a complete solution of each of the following equations: b.) y" + 2y'+ 10y = e-* sec x?

Description : Find a complete solution of each of the following equations: b.) y" + 2y'+ 10y = e-* sec x?

Last Answer : text[Limit - i + 1]:=tdigit[digit[i]]; % Reversing the order. next i; % Arabic numerals put the low order last. Print text," = ",n,"!" ... of arithmetic, here ten. There are many considerations. The scratchpad variable d must be able to hold the result of a single-digit

Use the graph to solve the system of linear equations x - y=4 4x + y=1?

Description : Use the graph to solve the system of linear equations x - y=4 4x + y=1?

Last Answer : x=4+y4x+y=1 = 4(4+y)+y=116+4y+y=116+5y=15y=-15y=-3x=4+y = x=4+(-3)x=1

If the system of equations `x-k y-z=0, k x-y-z=0,x+y-z=0` has a nonzero solution, then the possible value of `k` are `-1,2` b. `1,2` c. `0,1` d. `-1,1

Description : If the system of equations `x-k y-z=0, k x-y-z=0,x+y-z=0` has a nonzero solution, then the possible value of `k` are `-1,2` b. `1,2` c. `0,1` d. `-1,1

Last Answer : If the system of equations `x-k y-z=0, k x-y-z=0,x+y-z=0` has a nonzero solution, then the possible value of `k` ... 1,2` B. `1,2` C. `0,1` D. `-1,1`

The system of equations `alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1` has no solution if alpha is (A) 1 (B) not -2 (C) either -2 or 1 (

Description : The system of equations `alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1` has no solution if alpha is (A) 1 (B) not -2 (C) either -2 or 1 (

Last Answer : The system of equations `alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1` has no solution if alpha is ... 2 B. 1 C. `-2` D. Either - 2 or 1

If a curve is represented parametrically by the equations `x=4t^(3)+3` and `y=4+3t^(4)` and `(d^(2)x)/(dy^(2))/((dx)/(dy))^(n)` is constant then the v

Description : If a curve is represented parametrically by the equations `x=4t^(3)+3` and `y=4+3t^(4)` and `(d^(2)x)/(dy^(2))/((dx)/(dy))^(n)` is constant then the v

Last Answer : If a curve is represented parametrically by the equations `x=4t^(3)+3` and `y=4+3t^(4)` and `(d^(2) ... (dy))^(n)` is constant then the value of n, is

For making graph of equations `|y|=|f(|x|)|` through `y=f(x)` which order of step is right among the following order of Step `I : y=f(|x|)` (replace `

Description : For making graph of equations `|y|=|f(|x|)|` through `y=f(x)` which order of step is right among the following order of Step `I : y=f(|x|)` (replace `

Last Answer : For making graph of equations `|y|=|f(|x|)|` through `y=f(x)` which order of step is right among the following ... , `II`, `I` D. `III`, `I`, `II`