Home
Class 11
MATHS
A P is perpendicular to P B , where A is...

`A P` is perpendicular to `P B` , where `A` is the vertex of the parabola `y^2=4x` and `P` is on the parabola. `B` is on the axis of the parabola. Then find the locus of the centroid of ` P A Bdot`

Promotional Banner

Similar Questions

Explore conceptually related problems

The vertex V of the parabola y ^(2) = 4ax and two points on the parabola together with a point P form a square. The coordinates of P are

Prove that BS is perpendicular to PS,where P lies on the parabola y^(2)=4ax and B is the point of intersection of tangent at P and directrix of the parabola.

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

If the chord of contact of tangents from a point P to the parabola y^(2)=4ax touches the parabola x^(2)=4by, then find the locus of P.

A normal of slope 4 at a point P on the parabola y^(2)=28x , meets the axis of the parabola at Q. Find the length PQ.

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 double ordinate of the parabola y^(2)=8px is of length 16p. The angle subtended by it at the vertex of the parabola is