The circle intersects the line at two distinct points if

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

Problem

The circle x2+y2−4x−8y−5=0x^2+y^2-4x-8y-5=0 intersects the line 3x−4y=λ3x-4y=\lambda at two distinct points if (1) −10<λ<5-10<\lambda<5 (2) 9<λ<209<\lambda<20 (3) −35<λ<15-35<\lambda<15 (4) −16<λ<30-16<\lambda<30

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