Suppose that the foci of the ellipse x^2 9 + y^2 5 =1 are (f_1,0) and (f_2,0) where f_10 and f_2

Question

Suppose that the foci of the ellipse x^2 9 + y^2 5 =1 are (f_1,0) and (f_2,0) where f_1>0 and f_2<0. Let P_1 and P_2 be two parabolas with a common vertex at (0,0) and with foci at (f_1,0) and (2f_2,0), respectively. Let T_1 be a tangent to P_1 which passes through (2f_2,0) and T_2 be a tangent to P_2 which passes through (f_1,0). If m_1 is the slope of T_1 and m_2 is the slope of T_2, then the value of ( 1 m_1^2 +m_2^2 ) is

Accepted Answer

4

JEE Advanced 2015 Mathematics question

Solution

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