If the line x +y =p represents the common chord of the circles x²+y²=a² and x ²+ y ²+ b ²( a b ), where A and B lie ont he first circle and P and Q lie on the second circle, then AP is equal to

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If the line x +y =p represents the common chord of the circles x²+y²=a² and x ²+ y ²+ b ²( a > b ), where A and B lie ont he first circle and P and Q lie on the second circle, then AP is equal to

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Correct answer: C. a²-p² - b²-p²

The given circles are concentric with centre at (0,0) and the length of the perpendicular from (0,0) on the given line is p . Let OL = p then, AL = OA ²- OL ² = a ²- p ² and PL = OP ²- OL ² = b ²- p ² AP = a ²- p ² - b ²- p ²

If the line x +y =p represents the common chord of the circles x²+y²=a² and x ²+ y ²+ b ²( a > b ), where A and B lie ont he first circle and P and Q lie on the second circle, then AP is equal to

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