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The normal at one extremity of latus rec...

The normal at one extremity of latus rectunm (in 1st quadrant) of the ellipse `x^2/a^2+y^2/b^2=1` meets the rectangular hyperbola `xy=9` at points P and Q, then: (A) If P is `(6,3/2)=> Q` is `((-3sqrt(2)) /2 , -3 sqrt(2))` (B) Eccentricity of hyperbola is `sqrt(2)` (C) If P is `(6,3/2)=>` Q is `((-3e) /2 , 6/e)`where e is the eccentricity of the given ellipse (D) If O is origin, then product of slopes of OP and OQ is positive

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