AIEEE Exam

If a circle passes through the point (a, b) and cuts the circle x^2 + y^2 = p^2 orthogonally, then find the equation of the locus of its centre.

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AIEEE Other Question

If the circles x^2 + y^2 + 2ax + cy + a = 0 and x^2 + y^2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q then the line 5x + by - a = 0 passes through P and Q.find the solution of a An ellipse has OB as semi minor axis, F and F' its focii and the angle BF is a right angle. Then the eccentricity of the ellipse is