P and Q are two distinct points on the parabola, y2 = 4x, with parameters t and t1 respectively.  If the normal at P passes through Q, then the minimum value of t_{1}^{2} is:

  • Option 1)

    2

  • Option 2)

    4

  • Option 3)

    6

  • Option 4)

    8

 

Answers (2)

As we learnt in 

Parametric coordinates of parabola -

x= at^{2}

y= 2at

- wherein

For the parabola.

y^{2}=4ax

 

 Parametric coordinates are     \left ( at^2, 2at \right )

t_{1}= -t -\frac{2}{t}  ( Corotition for normal chord)

so, t_{1}^2 = t^2+\frac{4}{t^2}+4

Minimum value of  t_{1}^2=8


Option 1)

2

Incorrect

Option 2)

4

Incorrect

Option 3)

6

Incorrect

Option 4)

8

Correct

N neha

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 6999/- ₹ 5/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
Knockout JEE Main January 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions