The values of for which the circle dwindles into a point are:

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The values of λ\lambda for which the circle x2+y2+6x+5+λ(x2+y2−8x+7)=0x^2+y^2+6x+5+\lambda(x^2+y^2-8x+7)=0 dwindles into a point are: (1) 1±231\pm\frac{\sqrt{2}}{3} (2) 2±2232\pm\frac{2\sqrt{2}}{3} (3) 2±4232\pm\frac{4\sqrt{2}}{3} (4) 1±4231\pm\frac{4\sqrt{2}}{3}

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