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MathematicsCircleGeneral, Basic geometries, Definition Diametrical form of circleMedium2 minPYQ_2012

MathematicsMediumsingle choice

The length of the diameter of the circle which touches the $x$ -axis at the point $(1, 0)$ and passes through the point $(2, 3)$ is

Question diagram: The length of the diameter of the circle which touches the x

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Answer:

Solution:

Let $(h, k)$ be centre. $(h - 1)^{2} + (k - 0)^{2} = k^{2} (h - 2)^{2} + (k - 3)^{2} = k^{2} \Rightarrow h = 1 \Rightarrow k = \frac{5}{3}$ $∴$ diameter is $2 k = \frac{10}{3}$

Stream:JEESubject:MathematicsTopic:CircleSubtopic:General, Basic geometries, Definition Diametrical form of circle

⏱ 2mℹ️ Source: PYQ_2012

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