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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Question

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:

Solution

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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Q10

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