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
The point of intersection of tangents at the ends of the latus-rectum of the parabola $y^2=4 x$ is equal to
MathematicsParabolaJEE Main
Options:
  • A $(1,0)$
  • B $(-1,0)$
  • C $(0,1)$
  • D $(0,-1)$
Solution:
2535 Upvotes Verified Answer
The correct answer is: $(-1,0)$
Equation of the tangent at $\left(x_1, y_1\right)$ on the parabola $y^2=4 a x$ is $y y_1=2 a\left(x+x_1\right)$
$\therefore$ In this case, $a=1$
The co-ordinates at the ends of the latus rectum of the parabola $y^2=4 x \quad$ are $\quad L(1,2)$ and $L_1(1,-2)$

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.