AIEEE Exam

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

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AIEEE Other Question

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. Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
a) 8/9
b) 7/9
c) 1/9
d) 2/9