An infinite number of tangents can be drawn from $(1, 2)$ to the circle $x^{2} + y^{2} - 2 x - 4 y + λ = 0.$ Then $λ$ is

- 20

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Not possible

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5

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20

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Solution

The correct option is C $5$
Infinite tangents are possible only if it is a point circle.
$∴ r = 0 \Rightarrow λ = 5$

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x^{2} + y^{2} - 2 x - 4 y + λ = 0

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