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  4. A circle passes through (-2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle ?

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Q. A circle passes through (-2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle ?

JEE MainJEE Main 2016Conic Sections

Solution:

$\left(r-2\right)^{2}+2^{2}+r^{2} \Rightarrow r=2$
$\Rightarrow $ centre is $\Rightarrow $ diameter can be
$\left(-2,2\right) 2x-3y+10=0$

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