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  • Can someone help me with this, - Co-ordinate geometry - JEE Main

 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

Posted by

Sabhrant Ambastha

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