If alpha-beta= constant, then the locus ...

If `alpha-beta=` constant, then the locus of the point of intersection of tangents at `P(acosalpha,bsinalpha)` and `Q(acosbeta,bsinbeta)` to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` is: (a) a circle (b) a straight line (c) an ellipse (d) a parabola

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