Home
Class 11
MATHS
A point P moves such that the chord of c...

A point `P` moves such that the chord of contact of the pair of tangents from `P` on the parabola `y^2=4a x` touches the rectangular hyperbola `x^2-y^2=c^2dot` Show that the locus of `P` is the ellipse `(x^2)/(c^2)+(y^2)/((2a)^2)=1.`

Promotional Banner

Similar Questions

Explore conceptually related problems

A point P moves such that the chord of contact of the pair of tangents from P on the parabola y^(2)=4ax touches the rectangular hyperbola x^(2)-y^(2)=c^(2). Show that the locus of P is the ellipse (x^(2))/(c^(2))+(y^(2))/((2a)^(2))=1

A point P moves such that the chord of contact of the pair of tangents P on the parabola y^(2)=4ax touches the the rectangular hyperbola x^(2)-y^(2)=c^(2). Show that the locus of P is the ellipse (x^(2))/(c^(2))+(y^(2))/((2a)^(2))=1

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then find the locus of Pdot

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.

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^(2)=4x

If the chord of contact of tangents from a point P (x_1,y_1) to the circle x^2+y^2=a^2 touches the circle (x-a)^2+y^2 = a^2 , then the locus of (x_1, y_1) is :