Eliminate the parameter t Find a rectangular equation for th

Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = 2 tan t, y = 5 sec t; 0 lessthanorequalto t lessthanorequalto 2 pi A y = x^2 - 9; -3 lessthanorequalto x lessthanorequalto 3 B y^2/25 + x^2/4 = 1; -infinity

Solution

x=2tan t

tan t=x/2

And y=5sec t

y=5sqrt(tan²t+1)

y=5sqrt((x²/4)+1)

Correct option is D .