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If t1a n dt2 are the ends of a focal cho...

If `t_1a n dt_2` are the ends of a focal chord of the parabola `y^2=4a x ,` then prove that the roots of the equation `t_1x^2+a x+t_2=0` are real.

Text Solution

Verified by Experts

We have `t_(1)t_(2)=-1`
`:." Product of roots"=(t_(2))/(t_(1))lt0`
Hence, roots are real.
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Knowledge Check

  • If t_(1) and t_(2) are the extremities of any focal chord of y^(2) = 4ax " then " t_(1)t_(2) is _____

    A
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    B
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    C
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