Let E1 and E2 be two ellipses whose centers are at origin. The major axes of E1 and E2 lie along the x - axis and y - axis, respectively. Let S be the circle x^2 + (y - 1)^2 = 2. The straight line x + y = 3 touches the curves S, E1 and E2 at P, Q and R , respectively. Suppose that PQ = PR = 2(2)3 . If e1 and e2 are the eccentricities of E1 and E2 , respectively then the correct expression(s) is (are) a.e1^2 + e2^2 = 4340 b.e1e2 = (7)2(10) c.|e1^2 - e2^2| = 58 d.e1e2 = (3)4

Answers 1

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