1.

22b tan, then prove that x2--#1.If xsec, ya2 b2

Answer»

Sec² A - tan² A = 1

Now ,

According to the problem given,

x = a sec theta

x / a = sec theta --------( 1 )

y = b tan theta

y/b = tan theta -----------( 2 )

sec² theta - tan² theta = 1

( x/a )² - ( y/b )² = 1 { from ( 1 ) & ( 2 ) }

or

b²x² - a² y² = a² b²


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