Q79 / 225 · JEE Main 2003 · Mathematics
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
- A$\mathrm{t}_2=\mathrm{t}_1+\frac{2}{\mathrm{t}_1}$
- Correct answerB$t_2=-t_1-\frac{2}{t_1}$
- 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
Fundamental theorem (fact) $t_2=-t_1-\frac{2}{t_1}$
Hence, the correct answer is option: 'B'.