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If the tangents drawn from the point (0, 2) to the parabola y2 = 4ax are inclined at angle-t, then the value of 'a' is (A) 2 (C) 1 1. 4 (B) - 2 (D) none of these

Text Solution

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`y^2=4ax`
P(0,2)
A=`(at_1^2+2at_1)`
B=`(at_2^2+2at_2)`
`T_1: y=a/t_1+at_1`
`T_2:y=a/t_2+at_2`
P(0,2)=intersection point of` T_1 and T_2=(at_1t_2,a(t_1+t_2))`
`at_1t_2=0 (a!=0)`
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