The range of \lambda for which the circles x^2+y^2=4 and x^2+y^2-4 \lambda x+9=0 have two common tangents, is

Correct Answer is : λ>138 or λ<−138

\lambda \in (-\frac{13}{8}, \frac{13}{8})

\lambda>\frac{13}{8} or \lambda< -\frac{13}{8}

\lambda \in [-\frac{13}{8}, \frac{13}{8}]

CUSAT 2021 BTech Solved Paper Shift 1

Question : 205 of 250

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The range of λ for which the circles x2+y2=4 and x2+y2−4λx+9=0 have two common tangents, is

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