Home
Class 12
MATHS
The equation of a curve which passes thr...

The equation of a curve which passes through the point (3, 1), such the segment of any tangent between the point of tangency and the x-axis is bisected at its point of intersection with y-axis, is :

A

`x=3y^(2)`

B

`x^(2)=9y`

C

`x=y^(2)+2`

D

`2x=3y^(2)+3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|1 Videos

  • PARABOLA

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|3 Videos

  • MATRICES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|4 Videos

  • PERMUTATION AND COMBINATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a curve passing through the point (1, 1) , given that the segment of any tangent drawn to the curve between the point of tangency and the y-axis is bisected at the x-axis.

Find the equation of the curve which passes through the point (3,-4) and has the slope (2y)/x at any point (x , y) on it.

The curve that passes through the point (2, 3) and has the property that the segment of any tangent to it lying between the coordinate axes is bisected by the point of contact, is given by

A conic passes through the point (2, 4) and is such that the segment of any of its tangents at any point contained between the co-ordinate axes is bisected at the point of tangency. Then the foci of the conic are:

Find the equation of a curve passing through the point (2, 3) , given that the slope of the tangent to the curve at any point (x, y) is (2x)/(y^2) .

Find the equation of a line which passes through the point (1,3) and makes equal intercepts on X and Y -axis.

The equation of the curve which is such that the portion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is

Find the equation of a curve passing through the point (-2,3) , given that the slope of the tangent to the curve at any point (x, y) is (2x)/(y^2) .

Find the equation of a curve, passes through (-2,3) at which the slope of tangent at any point (x,y) is (2x)/(y^(2)) .

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x ,y)i s(y-1)/(x^2+x)dot