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JEE Main 2003
Exam
JEE Main
Year
2003
Subject
Mathematics
Chapter
Parabola

JEE Main 2003 · Mathematics · Parabola

The normal at the point (bt_1 ^2, 2 bt_1) on a parabola meets the...

The normal at the point (bt12,2bt1)\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

Options

  1. At2=t1+2t1\mathrm{t}_2=\mathrm{t}_1+\frac{2}{\mathrm{t}_1}
  2. Bt2=−t1−2t1t_2=-t_1-\frac{2}{t_1}
  3. Ct2=−t1+2t1\mathrm{t}_2=-\mathrm{t}_1+\frac{2}{\mathrm{t}_1}
  4. Dt2=t1−2t1\mathrm{t}_2=\mathrm{t}_1-\frac{2}{\mathrm{t}_1}

Correct answer

B. t2=−t1−2t1t_2=-t_1-\frac{2}{t_1}

Step-by-step solution

Fundamental theorem (fact) t2=−t1−2t1t_2=-t_1-\frac{2}{t_1}
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