Question

Mathematics (11)

The ends A , B of a fixed straight line of length ‘a’ and ends A¢ and B¢ of another fixed straight line of length ‘b’ slide upon the axis of X & the axis of Y (one end on axis of X & the other on axis of Y). Find the locus of the centre of the circle passing through A, B, A¢ and B¢.

(2ax +2by)² - (2bx - 2ay)² = (a² - b²)²

(2ax - 2by)² + (2bx - 2ay)² = (a² - b²)²

(2ax +2by)² + (2bx +2ay)² = (a² + b²)²

(D*) (2ax - 2by)² + (2bx - 2ay)² = (a² - b²)²

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Correct Answer: D ((D*) (2ax - 2by)² + (2bx - 2ay)² = (a² - b²)²) D

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