The locus of the point of intersection o...

The locus of the point of intersection of perpendicular tangents to `x^(2)/a^(2) + y^(2)/b^(2) = 1` and `(x^(2))/(a^(2) + lambda) + (y^(2))/(b^(2) + lambda) = 1`, is

A

`x^2+y^2=a^2+lambda`

B

`x^2+y^2=b^2+lambda`

C

`x^2+y^2=a^2+b^2+lambda`

D

`x^2+y^2=a^2+b^2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Locus of the points of intersection of perpendicular tangents to x^(2)/9 - y^(2)/16 = 1 is

The locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) , is

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

The locus of the point of intersection of the perpendicular tangents to the parabola x^(2)-8x+2y+2=0 is

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

The locus of the point of intersection of perpendicular tangents to the ellipse (x - 1)^2/16 + (y-2)^2/9= 1 is

The locus of point intersection of perpendicular tangents of ellipse ((x-1)^(2))/(16)+((y-1)^(2))/(9)=1 is