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allamraju (3415)

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Olaaa!! Perrrfect answer. 605  [800 rates]

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Any tangent to the ellipse can be written as xcosk+ysink=p=9cos2k+4sin2k.

this passes through (a,3)(acosk+3sink)2=9cos2k+4sin2k(a2-9)cot2k+6acotk+5=0.

since the tangents are perpendicular,cotk1.cotk2=-1=5/a2-9a=2or-2

MAKING A MISTAKE IS HUMAN BUT REPEATING IT IS IDIOTIC.
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