1.

·x=asec θ + btanθ and y-atanθ+bsec θ,thenprove that x-y" = a"-f.

Answer»

X=a.sec theta+b.tan theta ----------(1)y=a.tan theta +bsec theta-----------(2)

equation (1) and (2) squaring and then subtracting from (1) to (2)

x^2-y^2=a(sec^2theta-tan^2theta) -b (sec^2theta-tan^2theta)

we know sec^2x-tan^2x=1

nowx^2-y^2=a^2-b^2


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