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Distance of a Point from Coordinate Axes

A circle inte...

Question

A circle intersect y axis at a distance b from origin and intercept on x-axis is 2a. The locus of the centre of the circle is?

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Solution

Ans is x^2+2by=a^2-b^2

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Q. A circle cuts the X-axis and Y-axis such that intercept on X-axis is a constant a and intercept on Y-axis is a constant b. Then eccentricity of locus of centre of circle is

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2 b

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Q. Prove that the locus of the centre of a circle, which intercepts a chord of given length

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Distance of a Point from Coordinate Axes

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