Home
Class 12
MATHS
Chords of the hyperbola x^2/a^2-y^2/b^2=...

Chords of the hyperbola `x^2/a^2-y^2/b^2=1` are tangents to the circle drawn on the line joining the foci asdiameter. Find the locus of the point of intersection of tangents at the extremities of the chords.

A

`(x^2)/(a^4)+(y^2)/(b^4)=(1)/(ab)`

B

`(x^2)/(a^2)+(y^2)/(b^2)=(1)/(a^2-b^2)`

C

`(x^2)/(a^4)+(y^2)/(b^4)=(1)/(a^2+b^2)`

D

`(x^2)/(a^2)+(y^2)/(b^2)=(1)/(b^2-a^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of the point of intersection of tangents drawn at the extremities of normal chords to hyperbola xy = c^(2)

Two tangents are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 such that product of their slope is c^(2) the locus of the point of intersection is

Find the locus of point of intersection of tangents at the extremities of normal chords of the elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Find the locus of points of intersection of tangents drawn at the end of all normal chords to the parabola y^2 = 8(x-1) .

Tangents are drawn at the end points of a normal chord of the parabola y^(2)=4ax . The locus of their point of intersection is

The locus of the point of intersection of the tangents at the ends of normal chord of the hyperbola x^(2)-y^(2)=a^(2) is

If the tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at A and B, then find the locus of the point of intersection of the tangents at A and B.