Let E_1 and E_2 be two ellipses whose centers are at the origin. The major axes of E_1 and E_2 lie along the...

Question

Let E_1 and E_2 be two ellipses whose centers are at the origin. The major axes of E_1 and E_2 lie along the x-axis and the y-axis, respectively. Let S be the circle x^2+(y-1)^2=2. The straight line x+y=3 touches the curves S, E_1 and E_2 at P, Q and R, respectively. Suppose that PQ=PR= 2 2 3 . If e_1 and e_2 are the eccentricities of E_1 and E_2, respectively, then the correct expression(s) is(are)

Accepted Answer

(A),(B)

JEE Advanced 2015 Mathematics question

Solution

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