Home
Class 12
MATHS
Prove that on the axis of any parabola t...

Prove that on the axis of any parabola there is a certain point 'k' which has the property that, if a chord PQ of parabola be drawn through it then `1/(PK)^2+1/(QK)^2` is the same for all positions of the chord.

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that for a suitable point P on the axis of the parabola, chord A B through the point P can be drawn such that [(1/(A P^2))+(1/(B P^2))] is same for all positions of the chord.

prove that for a suitable point P on the axis of the parabola, chord A B through the point P can be drawn such that [(1/(A P^2))+(1/(B P^2))] is same for all positions of the chord.

Prove that for a suitable point P on the axis of the parabola, chord A B through the point P can be drawn such that [(1/(A P^2))+(1/(B P^2))] is same for all positions of the chord.

prove that for a suitable point P on the axis of the parabola,chord AB through the point P can be drawn such that [((1)/(AP^(2)))+((1)/(BP^(2)))] is same for all positions of the chord.

The other extremity of the focal chord of the parabola y^(2)=8x which is drawn at the point ((1)/(2),2) is

Let the focus S of the parabola y^2=8x lies on the focal chord PQ of the same parabola . If PS = 6 , then the square of the slope of the chord PQ is

Let the focus S of the parabola y^2=8x lies on the focal chord PQ of the same parabola . If PS = 6 , then the square of the slope of the chord PQ is

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

Show that all chords of a parabola which subtend a right angle at the vertex pass through a fixed point on the axis of the curve.

If the point P(at^2,2at) is a end point of a chord of the parabola y^2=4ax which is passes through the focus, then the length of the chord is