Guest

P is a variable point such that the two tyangents drawn to the ellipse x 2 /a 2 +y 2 /b 2 =1 from the point P are perpendicular to each other.Find the equation of locus of P.

P is a variable point such that the two tyangents drawn to the ellipse x2/a2+y2/b2=1 from the point P are perpendicular to each other.Find the equation of locus of P.

Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
equation of tangents =
 
 y = mx ± sqrt (a^2 m^2 – b^2)
 
Now
 
make this in quadratic in m and then 
use relation m1 * m2 = – 1
 
hence you can find locus

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free