Home
Class 12
MATHS
Two perpendicular chords are drawn from ...

Two perpendicular chords are drawn from the origin `O` to the parabola `y=x^2`, which meet the parabola at P and Q. Rectangle POQR is completed. Find the locus of vertex R.

A

1

B

`(1)/(2)`

C

`(3)/(4)`

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Two perpendicular chords are drawn from the origin O to the parabola y=x^2-x , which meet the parabola at P and Q, then rectangle POQR is completed. The locus of R is

A tangent is drawn to the parabola y^(2)=4ax at P such that it cuts the y-axis at Q. A line perpendicular to this tangents is drawn through Q which cuts the axis of the parabola at R. If the rectangle PQRS is completed, then find the locus of S.

Perpendicular tangents are drawn from an external point P to the parabola y^2=16(x-3) Then the locus of point P is

The line through P , perpendicular to the chord of the tangents drawn from the point P to the parabola y^(2)=16x touches the parabola x^(2)=12y , then the locus of P is 2ax+3y+4a^(2)=0 then a is ________

A tangent to the parabola y^(2)+4bx=0 meet, the parabola y^(2)=4ax in P and Q.Then t locus of midpoint of PQ is.

If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the parabola y^(2)=8x+5 at Q and R, then find the midpoint of chord QR.