Suppose that the foci of the ellipse 
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). The m 1 is the slope of T 1 and m 2 is the slope of T 2 , then the value of 
is
Text Solution
Verified by Experts4
(4)The equation of P 1 is y 2 – 8x = 0 and P 2 is y 2 + 16x = 0
Tangent to y 2 – 8x = 0 passes through ( – 4, 0)
Also tangent to y 2 + 16x = 0 passes through (2, 0)
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