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Q.

Parabolas y2 = 4a(x–k) and x2 = 4a(y–l) are such that they touch each other. (k,l are variables ) locus of point of contact is xy = ma2 then m =

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answer is 4.

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Detailed Solution

y2=4a(x−k),x2=4a(y−l),

 for the first curve dydx(m1)=2ay, for the second curve dydx(m2)=x2a curves touch each other⇒m1=m2 2ay=x2a⇒xy=4a2

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