Home
Class 12
MATHS
A conic C satisfies the differential equ...

A conic C satisfies the differential equation `(1+y^(2))dx-xydy=0` and passes through the point `(1, 0)`. An ellipse E which is confocal with C having its eccentricity equal to `sqrt((2)/(3))`
Q. find the locus of the point of intersection of the perpendicular tangents to the ellipse E

A

`x^(2)+y^(2)=4`

B

`x^(2)+y^(2)=8`

C

`x^(2)+y^(2)=10`

D

`x^(2)+y^(2)=13`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Example|7 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|1 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

A conic C satisfies the differential equation (1+y^(2))dx-xydy=0 and passes through the point (1, 0) . An ellipse E which is confocal with C having its eccentricity equal to sqrt((2)/(3)) Q. find the length of the latus rectum of the conic C

A conic C satisfies the differential equation, (1+y^2)dx - xy dy = 0 and passes through the point (1,0) .An ellipse E which is confocal with C having its eccentricity equal to sqrt(2/3) . find the equation of the ellipse E

The locus of the point of intersection of two prependicular tangents of the ellipse x^(2)/9+y^(2)/4=1 is

Latusrectum of the conic satisfying the differential equation xdy+ydx=0 and passing through the point (2, 8) is

Solve the differential equations: (x^2-y^2)dx+2xydy=0, y(1)=1

Find the equation of line perpendicular to x - 2y +3=0 and passing through the point (3,-2) .

For the differential equation xydy/dx = (x + 2) (y +2) , find the solution curve passing through the point (1, -1) .

Find the equation of a line perpendicular to 2x+4y-9=0 and Passing through the point (1/2,3/2) .

Find the equation of the plane passing through the points (1,1,0),(1,3,0),(2,5,1)

Find the equation of the plane passing through the point (1,1,0),(1,2,1) and (2,3,2).