Let cos^-1 (x/2)+cos^-1 (y/3)=theta and ...

Let `cos^-1 (x/2)+cos^-1 (y/3)=theta` and denote by `f(x,y,theta)=0` the rational integeral expression in `x and y.` Then for `theta=pi/2` the locus represented by `f(x,y,pi/2)=0` is (A) an ellipse (B) parabola (C) hyperbola (D) pair of lines

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