Two Variable Curves C1 : y2 = 4a (x – B1) And C2 : x2 = 4a (y – B2) Where ‘a’ Is A Given Positive Real No. And B1 and B2 are Variable Such That C1 and C2 are Tangents To Each Other At Point Of Contact Then Locus Of Point Of Contact Is:

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Two variable curves C1 : y2 = 4a (x – b1) and C2 : x2 = 4a (y – b2) where ‘a’ is a given positive real no. and b1 and b2 are variable such that C1 and C2 are tangents to each other at point of contact then locus of point of contact is:


Correct option is

xy = 4a2



b1, b2 are variables, such that C1 and C2 are tan

find locus of point of contact 


At the point of contact, since the curves are tangent to each other




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