26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve

1 Answer

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

Related questions

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 : 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 equation of tangents of the following curves at the given points: (i) Curve`x^(2) = 25` at point (3, 4) (ii) Curve `y = 2x^(3) + 2x^(2) - 8x+

Last Answer : Find the equation of tangents of the following curves at the given points: (i) Curve`x^(2) = 25` at point (3, 4) ... 2)(x-1) = 4x^(2)` at point (5, 5)

Description : (i) Find the co-ordinates of the points on the curve xy = 16 at which the normal drawn meet at origin. (ii) Find the points on the curve`4x^(2)+9 y^(2

Last Answer : (i) Find the co-ordinates of the points on the curve xy = 16 at which the normal drawn meet at ... ` at which the normal drawn is parallel to X-axis.

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 : 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 : 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 : 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 : 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 : 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 

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 : (C) R/20

Description : What are the points of contact when the line x -y equals 2 crosses the curve x squared -4y squared equals 5 showing work?

Last Answer : If: x -y = 2 then x^2 = (2+y)^2 => 4+4y+y^2If: x^2 -4y^2 = 5 then x^2 = 5+4y^2So: 5+4y^2 = 4+4y+y^2Transposing terms: 3y^2 -4y +1 = 0Factorizing the above: (3y-1)(y-1) = 0 meaning y = 1/3 or y =1By substitution contacts are made at: (7/3, 1/3) and (3, 1)

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 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.

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.

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.

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.

Description : What are the points of contact between the line x -2y equals 1 and the curve 4y squared -3x squared equals 1?

Last Answer : If: x-2y = 1 Then: x^2 = 4y^2 +4y+1 If: 4y^2 -3x^2 = 1 Then: 4y^2 -3(4y^2 +4y+1) = 1 Removing brackets: 4y^2 -12y^2 -12y -3 = 1 Transposing terms: -8y^2 -12y -4 = 0 Dividing all ... meaning y = -1/2 or -1 By substitution into original linear equation points of contact are at: (0, -1/2) and (-1, -1)

Description : If `y=(sinx+cos e cx)^2+(cosx+secx)^2` , then the minimum value of `y ,AAx in R ,` 7 (b) 3 (c) 9 (d) 0

Last Answer : If `y=(sinx+cos e cx)^2+(cosx+secx)^2` , then the minimum value of `y ,AAx in R ,` 7 (b) 3 (c) 9 (d) 0 A. 7 B. 8 C. 9 D. 11

Description : X and y are points on the side LN of the triangle LMN , such that LX = XY = YN . Through X, a line is drawn parallel to LM to meet MN at Z. -Maths 9th

Last Answer : Here, △XZM and △XZL are on the same base (XZ) and lie between the same parallels (XZ || LM). ∴ ar(△XZL) = ar( △XZM) Adding ar(△XZY) on both sides , we have ar(△XZL) + ar(△XZY) = ar(△XZM) + ar(△XZY) ⇒ ar(△LZY) = ar(quad.MZYX)

Description : X and y are points on the side LN of the triangle LMN , such that LX = XY = YN . Through X, a line is drawn parallel to LM to meet MN at Z. -Maths 9th

Last Answer : Here, △XZM and △XZL are on the same base (XZ) and lie between the same parallels (XZ || LM). ∴ ar(△XZL) = ar( △XZM) Adding ar(△XZY) on both sides , we have ar(△XZL) + ar(△XZY) = ar(△XZM) + ar(△XZY) ⇒ ar(△LZY) = ar(quad.MZYX)

Description : A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle `x² + y^2 = 4.` Then, The locus

Last Answer : A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle ... `(x^(2))/(5)+(y^(2))/(4)=1`

Description : If circles are drawn taking two sides of a triangle as diameter, prove that the point of intersection of these circles lie on the third side. -Maths 9th

Last Answer : Solution :- Given: Two circles are drawn on sides AB and AC of a △ABC as diameters. The circles intersects at D. To prove: D lies on BC Construction: Join A and D Proof: ∠ADB = 90° (Angle in the semi-circle ... + 90° => ∠ADB + ∠ADC = 180° => BDC is a straight line. Hence, D lies On third side BC.

Description : Two congruent circles intersect each other at point A and B.Through A any line segment PAQ is drawn so that P,Q lie on the two circles.Prove that BP = BQ. -Maths 9th

Last Answer : Solution :- Let, O and O' be the centres of two congruent circles. As, AB is the common chord of these circles. ∴ ACB = ADB As congruent arcs subtent equal angles at the centre. ∠AOB = ∠AO'B ⇒ 1/2∠AOB = 1/2∠AO'B ⇒ ∠BPA = ∠BQA ⇒ BP = BQ (Sides opposite to equal angles)

Description : The number of tangents required to describe cubic splines is a.2 b.1 c.3 d.4

Last Answer : b.1

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 : 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 : Write the coordinates of two points on X-axis and two points on Y-axis which are at equal distances from the origin. Connect all these points and make them as vertices of quadrilateral. Name the quadrilateral thus formed. -Maths 9th

Last Answer : Let a be the equal distance from origin on both axes. Now, the coordinates of two points on equal distance 'a'on x-axis are Pla, 0) and R(-a, 0). Also, the coordinates of two points on equal distance 'a' on Y-axis are Q(0, a) and S(0, -a). Join all the four points on the graph.

Description : In homogenous coordinate system (x, y, z) the points with z = 0 are called (A) Cartesian points (B) Parallel points (C) Origin point (D) Point at infinity

Last Answer : (D) Point at infinity

Description : If p is the length of the perpendicular drawn from the origin to the line -Maths 9th

Last Answer : Let the x-intercept = a. Then y-intercept = -1 - a The equation of the required line is \(rac{x}{a}\) + \(rac{y}{-1-a}\) = 1Given, it passes through (4, 3), so,\(rac{4}{a}\) + \(rac{3}{-1-a}\) = 1⇒ - 4 - 4a ... 2}\) - \(rac{y}{3}\) = 1When a = -2, required line is \(rac{x}{-2}\) + \(rac{y}{3}\) = 1

Description : The origin of gender studies lie in a. Feminism. b. Patriarchy. c. Women’s studies. d. All of the above.

Last Answer : c. Women’s studies.

Description : 1. Who was known as Lady with Lamp'? 2. Which Indian origin immigrants became the Governor of Louisiana province of the USA in 2007 ? 3. From which part of the plant is turmeric obtained? 4 ... most difficult? 20. By whom wasIsland of Bombay was given to the English Prince Charles II as dowry?

Last Answer : Answer : 1. Florence Nightingale 2. Bobby Jindal 3. Stem 4. Jupiter and Saturn 5. Sisodiya 6. Fundamental right 7. Liquid sodium 8. M1 + T.D 9. Sun 10. Raigarh 11. Physics 12. Bark 13. ... . Methane, butane and propane 17. Export processing zone 18. Rs. 100 19. Interior of the Earth 20. Portuguese

Description : What is the image of (-26) under a reflection in the origin?

Last Answer : It is (2, -6)

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 : 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 : 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 : A particle moves along the curve `6y = x^3 + 2`. Find the points on the curve at which y-co-ordinate is changing 8 times as fast as the x-co-ordinate.

Last Answer : A particle moves along the curve `6y = x^3 + 2`. Find the points on the curve at which y-co-ordinate is changing 8 times as fast as the x-co-ordinate.

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 : 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 : A curve that goes through all the tangency points of an x and y isoquants in a Edgeworth Box is called (a) Indifference curve (b) Trade indifference curve (c) Offer curve (d) Contract curve

Last Answer : Offer curve

Description : If the demand line drawn from a ridge in a flow mass curve does not intersect the curve again, it indicates that (A) Demand cannot be met by inflow (B) Reservoir was not full at the beginning (C) Both (A) and (B) (D) None of the above

Last Answer : Answer: Option A

Description : Consider the following situation in a flow mass curve study when demand line drawn from a ridge in the mass curve does not intersect the mass curve again. This means that : (a) The storage is not ... (c) The reservoir was not full at the beginning (d) The reservoir is wasting water by spill

Last Answer : (b) The demand cannot be met by the inflow as the reservoir will not refill

Description : For stripping of a gas in a counter current stripper, the operating line (A) Lies above the equilibrium curve (B) Lies below the equilibrium curve (C) Can lie above or below the equilibrium curve (D) Is always parallel to the equilibrium curve

Last Answer : (C) Can lie above or below the equilibrium curve

Description : How do I integrate (sinx)^4 with limits 0 to pi?

Last Answer : answer:This should help you: https://en.wikipedia.org/wiki/List_of_trigonometric_identities#Power-reduction_formula If you still can’t figure it out on your own with this hint, I should be able to help you further, but I’m at work right now.

Description : `int (1-sinx )/ (1-cos x) dx=?`

Last Answer : `int (1-sinx )/ (1-cos x) dx=?` A. `cot .(x)/(2) -2 log sin .(x)/(2) +c` B. `-cot .(x)/(2) -2 log sin .(x)/(2) +c` C. None of the above D.

Description : Write a value of `inte^x (sinx+cosx)dx`

Last Answer : Write a value of `inte^x (sinx+cosx)dx` A. `e^(x) cos x +c` B. ` -e^(x) sin x+ c` C. `-e^(x) cos x + c` D.

Description : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`

Last Answer : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`

Description : `int sinx/sin(3x) dx=`

Last Answer : `int sinx/sin(3x) dx=`

Description : Evaluate: `int1/(sinx(3+2cosx)dx`

Last Answer : Evaluate: `int1/(sinx(3+2cosx)dx`