Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If a normal drawn to the parabola $y^2=4 a x$ at the point $(a, 2 a)$ meets parabola again on $\left(a t^2, 2 a t\right)$, then the value of $t$ will be
MathematicsParabolaJEE Main
Options:
  • A $1$
  • B $3$
  • C $-1$
  • D $-3$
Solution:
1176 Upvotes Verified Answer
The correct answer is: $-3$
We know that
$t_2=-t_1-\frac{2}{t_1}$
Put $t_1=1$ and $t_2=t$. Hence $t=-3$.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.