Question

The tangents from which of the following points to the ellipse 5x^2+4y^2=20 are perpendicular
1,2√2
2√2,1
2,√5
√5,2

Answer 1

Answer:

2√2,1

Step-by-step explanation-

Here,

The point of intersection of the perpendicular tangents drawn to the given ellipse lies on a circle called "director circle"(Locus of the points is Director circle").

that is,

x^2+y^2=a^2+b^2=9

from the given options,

2√2,1  lies on the above circle.