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Question: Answered & Verified by Expert
The normal at the point $\left(\mathrm{bt}_1{ }^2, 2 \mathrm{bt}_1\right)$ on a parabola meets the parabola again in the point $\left(\mathrm{bt}_2{ }^2, 2 \mathrm{bt}_2\right)$, then
MathematicsParabolaJEE MainJEE Main 2003
Options:
  • A
    $\mathrm{t}_2=\mathrm{t}_1+\frac{2}{\mathrm{t}_1}$
  • B
    $t_2=-t_1-\frac{2}{t_1}$
  • C
    $\mathrm{t}_2=-\mathrm{t}_1+\frac{2}{\mathrm{t}_1}$
  • D
    $\mathrm{t}_2=\mathrm{t}_1-\frac{2}{\mathrm{t}_1}$
Solution:
2155 Upvotes Verified Answer
The correct answer is:
$t_2=-t_1-\frac{2}{t_1}$
Fundamental theorem (fact) $t_2=-t_1-\frac{2}{t_1}$

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