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If the chord joining the points t1and t2...

If the chord joining the points `t_1`and `t_2` on the parabola `y^2 = 4ax` subtends a right angle at its vertex then `t_2=`

A

0

B

1

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
The equation of the chord joining points `(at_(1)^(2), 2at_(1))"and"(at_(2)^(2), 2at_(2))` is
`y(t_(1)+t_(2))=2x+2at_(1)t_(2)" ...(i)"`
It is given that the axis i.e. y = 0, directrix x= -a and (i0 are concurrent. Therefore, chord (i) passes through the point of intersection of axis y = 0 adn directrix x= -a i.e. the point (-a, 0).
`:." "-2a+2at_(1)t_(2)=0rArrt_(1)t_(2)=1`
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