Question

if 3+tan^2p=3sec p,what are the possible values of sec p​

Answer 1

Equation of normal is,

x1a2x+y1b2y=a2+b2

At P, equation will be

2cosθx+2cotθy=13.(1)

At Q, equation will be,

3sinθx+2tanθy=13.(2)

3sinθ13−2ytanθ=3cosθ13−2ycotθ

13−2ytanθ=13tanθ−2y

2y−2ytanθ=13tanθ−13

y=−213