Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalMedium2 minPYQ_2004

MathematicsMediumsingle choice

The intercept on the line $y = x$ by the circle $x^{2} + y^{2} - 2 x = 0$ is $A B$ . Equation of the circle on $AB$ as a diameter is

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Solution:

Points of intersection of line $y = x$ with $x^{2} + y^{2} - 2 x = 0$ are $(0, 0)$ and $(1, 1)$ hence equation of circle having end points of diameter $(0, 0)$ and $(1, 1)$ is $x^{2} + y^{2} - x - y = 0$

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal

⏱ 2mℹ️ Source: PYQ_2004

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