If theta is eliminated from the equation...

If `theta` is eliminated from the equations `a sec theta-x tan theta=y" and "b sec theta+y tan theta=x` (a and b are constants), then :

A

the director circle of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1`

B

auxiliary circle of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1`

C

director circle of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1`

D

director circle of the circle `x^2+y^2=(a^2+b^2)/(2)`

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The correct Answer is:

C, D

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