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The locus of the point of intersection o...

The locus of the point of intersection of the tangent to the circle `x^(2)+y^(2)=a^(2)`, which include an angle of `45^(@)` is the curve `(x^(2)+y^(2))^(2)=lambda a^(2) (x^(2)+y^(2)-a^(2))`. The value of `lambda` is :

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