Description : Find the equation of normals of the following curves at the given points: (i) Curve`y^(2)=4 ax" at point "(at^(2), 2at)`. (ii) Curve `y= e^(x)" at poi
Last Answer : Find the equation of normals of the following curves at the given points: (i) Curve`y^(2)=4 ax" at point "(at^( ... (2)-9y^(2) = 432` at point (6, 4).
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.
Description : Find the slope of tengents drawn of the following curves at the given points: (i) Curve ` y =x^(3)+1` at point (0, 1) (ii) Curve ` x^(2)-y^(2)` = 20 a
Last Answer : Find the slope of tengents drawn of the following curves at the given points: (i) Curve ` y =x^(3)+1` at point ... 4" ax at point "(a/m^(2),(2a)/m)`
Description : Prove that the curve `y^2=4x and x^2 +y^2 - 6x +1=0` touches each other at thepoint `(1, 2),` find the equation of the common tangents.
Last Answer : Prove that the curve `y^2=4x and x^2 +y^2 - 6x +1=0` touches each other at thepoint `(1, 2),` find the equation of the common tangents.
Description : Find the inclination from X-axis of the tangent drawn of the following curves at the given points: (i) Curve`x^(2)-2y^(2)=8` at point (4, 2) (ii) Curv
Last Answer : Find the inclination from X-axis of the tangent drawn of the following curves at the given points: (i) Curve`x^(2)- ... `y^(2)=2x^(3)` at point (2, 4)
Description : Find the coordinates of the points on the curve `y=x^2+3x+4,` the tangents at which pass through the origin.
Last Answer : Find the coordinates of the points on the curve `y=x^2+3x+4,` the tangents at which pass through the origin.
Description : 26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve
Last Answer : 26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve A. `x^(2) ... x^(2)=x^(2)y^(2)` D. None of these
Description : Curves in the same direction separated by short tangents, are called (A) Simple circular curves (B) Compound curves (C) Transition curves (D) Broken-back curves
Last Answer : Answer: Option D
Description : What is the point of contact when the line y equals 2x meets the circle x2 plus y2 -8x -y plus 5 equals 0?
Last Answer : If: y = 2xThen: y^2 = 4x^2If: x^2 +y^2 -8x -y +5 = 0Then: x^2 +4x^2 -8x -2x +5 = 0Transposing terms: 5x^2 -10x +5 = 0Dividing all terms by 5: x^2 -2x +1 = 0Factorizing the above: (x-1)(x-1) = 0 meaning x = 1By substitution into original equations point of contact is madeat: (1, 2)
Description : Which of the following statement(s) is/are correct with reference to curve generation? I. Hermite curves are generated using the concepts of interpolation. II. Bezier curves are generated using the concepts of approximation. III. The ... (B) II and III only (C) I and II only (D) I, II and III only
Last Answer : (D) I, II and III only
Description : If `x=9` is the chord of contact of the hyperbola `x^2-y^2=9` then the equation of the corresponding pair of tangents is (A) `9x^2-8y^2+18x-9=0` (B) `
Last Answer : If `x=9` is the chord of contact of the hyperbola `x^2-y^2=9` then the equation of the corresponding pair of ... 0` D. `9x^(2)-8y^(2) +18x+9=0`
Description : The locus of points of intersection of the tangents to `x^(2)+y^(2)=a^(2)` at the extremeties of a chord of circle `x^(2)+y^(2)=a^(2)` which touches t
Last Answer : The locus of points of intersection of the tangents to `x^(2)+y^(2)=a^(2)` at the extremeties of a chord of circle ` ... ` C. `(a,0)` D. `((a)/(2),0)`
Description : When acetone is added in a two layer mixture of methyl isobutyl ketone and water at 30°C, the acetone distributes between the two layers and the composition of the layer follows two solubility curves. For this system ... at the concentration of the plait point (D) All (A), (B) and (C
Last Answer : (D) All (A), (B) and (C
Description : What are the points of intersection of the line 2x plus 5y equals 4 with the curve y squared equals x plus 4?
Last Answer : If: 2x +5y = 4 then 25y^2 = 4x^2 -16x +16If: y^2 = x +4 then 25y^2 = 25x +100So: 4x^2 -16x +16 = 25x +100Transposing terms: 4x^2 -41x -84 = 0Factorizing the above: (4x+7)(x-12) = 0 meaning x = -7/4 or x =12By substitution into original equation points of intersection:(-7/4, 3/2) and (12, -4)
Description : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then
Last Answer : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then A. 18 B. 19 C. 22 D. 20
Description : Find the equation of normal to the curves `x=t^2, y=2t+1` at point
Last Answer : Find the equation of normal to the curves `x=t^2, y=2t+1` at point
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`.
Description : What are the points of intersection between the line 3x -y equals 5 and the curve 2x squared plus y squared equals 129?
Last Answer : If: 3x-y = 5 then y^2 = (3x_5)^2 => 9x^2 -30x+25If: 2x^2 + y^2 = 129 then y^2 = 129-2x^2So: 9x^2 -30x+25 = 129-2x^2Transposing terms: 11x^2 -30x -104 = 0Factorizing the above: (11x- ... x = 52/11 or x= -2By substituting x into the original equation intersections areat: (52/11, 101/11) and (-2, -11)
Description : For setting out a simple curve, using two theodolites. (A) Offsets from tangents are required (B) Offsets from chord produced are required (C) Offsets from long chord are required (D) None of these
Last Answer : (D) None of these
Last Answer : (C) R/20
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
Description : The minimum ratio of the radii of two circular curves of a compound curve, is kept (A) 1.25 (B) 1.5 (C) 1.75 (D) 2.0
Last Answer : Answer: Option B
Description : What equation is perpendicular to y-8x-6?
Last Answer : Need answer
Description : Find the equation of normal of the curve `2y= 7x - 5x^(2)` at those points at which the curve intersects the line x = y.
Last Answer : Find the equation of normal of the curve `2y= 7x - 5x^(2)` at those points at which the curve intersects the line x = y.
Description : Simplify (9-4x^ 2 +2x^ 2 +8x^ 2 +1+6x^ 2?
Last Answer : 12x^2+10
Description : What is the tangent line equation of the circle 2x2 plus 2y2 -8x -5y -1 equals 0 at the point 1 -1 on its circumference?
Last Answer : Circle equation: 2x^2 +2y^2 -8x -5y -1 = 0Divide all terms by 2: x^2 +y^2 -4x -2.5y -0.5 = 0Completing the squares: (x-2)^2 +(y-1.25)^2 = 6.0625Center of circle: (2, 1.25)Point of contact: (1 ... 9Tangent equation: y--1 = -4/9(x-1) => 9y = -4x -5Tangent line equation in its general form: 4x+9y+5 = 0
Description : What is the point of contact between the line y equals x plus 4 and the circle x2 plus y2 -8x plus 4y equals 30?
Last Answer : Equations: y = x+4 and x^2 +y^2 -8x +4y = 30It appears that the given line is a tangent line to the givencircle and the point of contact works out as (-1, 3)
Description : Draw a graph of the equation x - Y = 4 & 2x+ 2y =4 on the same graph paper find the coordinates of the point whose two lines intersect. -Maths 9th
Last Answer : This answer was deleted by our moderators...
Description : The torque and current curves for a three-phase induction motor with a cage rotor, are shown in the illustration. Which of the following statements is true concerning the depicted curves? EL-0056 A. As slip ... D. If the motor is loaded to the point where 40% slip has resulted, it will stall.
Last Answer : Answer: D
Description : Transition curves are introduced at either end of a circular curve, to obtain (A) Gradually decrease of curvature from zero at the tangent point to the specified quantity at the junction of the ... specified amount at the junction of the transition curve with main curve (D) None of these
Last Answer : (B) Gradual increase of super-elevation from zero at the tangent point to the specified amount at the junction of the transition curve with main curve
Description : Find the number of solution of the following equation `x^(4)-6x^(2)-8x-3=0`
Last Answer : Find the number of solution of the following equation `x^(4)-6x^(2)-8x-3=0`
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
Description : Find the equation of normal to the curve `y(x-2)(x-3)-x+7=0` at that point at which the curve meets X-axis.
Last Answer : Find the equation of normal to the curve `y(x-2)(x-3)-x+7=0` at that point at which the curve meets X-axis.
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).
Description : The graph of the linear equation 2x + 3y = 6 cuts the Y-axis at the point. -Maths 9th
Last Answer : (d) Since, the graph of linear equation 2x + 3y = 6 cuts the Y-axis. So, we put x = 0 in the given equation 2x+ 3y = 6, we get 2 x 0+ 3y = 6 ⇒ 3y = 6 y = 2. Hence, at the point (0, 2), the given linear equation cuts the Y-axis.
Description : At what point does the graph of the linear equation 2x + 3y = 9 meet a line which is parallel to the y-axis, at a distance of 4 units from the origin and on the right of the y-axis? -Maths 9th
Last Answer : hope its clear
Description : Find the equation of the line which passes through the point of intersection of the lines 2x – y + 5 = 0 -Maths 9th
Last Answer : (a) 45º 3x + y - 7 = 0 ⇒ y = -3x + 7 ⇒ Slope (m1) = -3 x + 2y + 9 = 0 ⇒ y = \(rac{-x}{2}\) - \(rac{9}{2}\) ⇒ Slope (m2) = \(-rac{1}{2}\)If θ is the angle between the given lines, then tan θ = \(\ ... \bigg|rac{-rac{5}{2}}{1+rac{3}{2}}\bigg|\)= \(\bigg|rac{-rac{5}{2}}{rac{5}{2}}\bigg|\) = 1∴ θ = 45°.
Description : The point at which the line joining the points `(2, -3, 1) and (3, -4, -5)` intersects the plane `2x+y+z=7` is
Last Answer : The point at which the line joining the points `(2, -3, 1) and (3, -4, -5)` intersects the plane `2x+y+z=7` is A. ... . ` (-1, 2, 7)` D. `(1, -2, -7)`
Description : Given below graphs an oxygen dissociation curve `:-` Where in the body will haemoglobin be saturation at the percentage shown at points X,Y and Z.
Last Answer : Given below graphs an oxygen dissociation curve `:-` Where in the body will haemoglobin be ... ventricle , Y-Right ventricle, Z-Systemic artery
Description : what-A t-shirt company sells two types of shirts. Its average daily profit can be modeled by the equation 8x + 12y = 832.A soil company sells two types of topsoil. Its average daily profit can be modeled by the equation 16x + 24y = 1,664?
Last Answer : Are the lines parallel? Answer yes or no.
Description : The root of the equation `0.8x + 9 = 17` is ______
Last Answer : The root of the equation `0.8x + 9 = 17` is ______
Description : How many solutions are there to the equation below 8x plus 11 8x plus 8?
Last Answer : What is the answer ?
Description : Prove that the length of the tangents drawn from an external point to a circle are equal, hence show that the centre lies on the bisector of the angle between the two tangents? -SST 10th
Last Answer : Given: PT and TQ are two tangent drawn from an external point T to the circle C (O, r). To prove: 1. PT = TQ 2. ∠OTP = ∠OTQ Construction: Join OT. Proof: We know that, a tangent to ... point to a circle are equal. ∠OTP = ∠OTQ, ∴ Centre lies on the bisector of the angle between the two tangents.
Description : Draw a circle of diameter 6.4 cm. Then draw two tangents to the circle from a point P at a distance 6.4 cm from the centre of the circle. -Maths 9th
Last Answer : clear .
Description : How many tangents can be drawn at any point of a circle ?
Last Answer : A tangent can be drawn at any point in a circle.
Description : Which of the following is NOT closely associated with a non-magnetic Phase Diagram? w) Eutectic Temperature (pron: you-tek-tik) x) Curie Point y) Solidus z) Liquidus Curves
Last Answer : ANSWER: X -- CURIE POINT
Description : Solve the equation 2x + 1 = x -3, and represent the solution(s) on (i) the number line. (ii) the Cartesian plane. -Maths 9th
Last Answer : Solution :-
Description : The equation 2x+ 5y = 7 has a unique solution, if x and y are -Maths 9th
Last Answer : (a) In natural numbers, there is only one pair i.e., (1, 1) which satisfy the given equation but in positive real numbers, real numbers and rational numbers there are many pairs to satisfy the given linear equation.
Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution? -Maths 9th
Last Answer : The given linear equation is 2x + cy= 8. …(i) Now, by condition, x and y-coordinate of given linear equation are same, i.e., x = y. Put y = x in Eq. (i), we get