The radius of the circle touching y-axis at origin and touches $x = 6$ is

2

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3

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6

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4

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Solution

The correct option is B $3$
As given, circle touches $x = 0$ and $x = 6$ ,

$∴ x = 0$ and $x = 6$ are tangent to circle.
$∴$ distance between these parallel lines is equal to the diameter of the circle.
$∴ D = 2 r = x_{2} - x_{1} = 6 - 0 = 6$
$r = 3$

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Similar questions

3 x - y = 6

(1, - 3)

y = x

Find the equation of the circle concentric with the circle $x^{2} + y^{2} - 4 x - 6 y - 3 = 0$ and which touches the y-axis.

Find the equation of the circle concentric with
$x^{2} + y^{2} - 4 x - 6 y - 3 = 0$
and which touches the y-axis.

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