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The circle passing through the point $(- 1, 0)$ and touching the y-axis at $(0, 2)$ also passes through the point

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$(\frac{- 5}{2}, 2)$

$(\frac{- 3}{2}, \frac{5}{2})$

$(- 4, 0)$

$(\frac{- 3}{2}, 0)$

answer is D.

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Detailed Solution

Circle touching y-axis at $(0, 2)$ is ${(x - 0)}^{2} + {(y - 2)}^{2} + λ x = 0$

It passes through $(- 1, 0)$

$∴ λ = 5$

Circle $\Rightarrow x^{2} + y^{2} + 5 x - 4 y + 4 = 0$

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