Home
Class 12
MATHS
The normal at the point on a parabola m...

The normal at the point on a parabola meets the parabola again in the point `by_(2)^(2),2by_(2)` then

A

`t_(2)=-t_(1)+(2)/(t_(1))`

B

`t_(2)=t_(1)-(2)/(t_(1))`

C

`t_(2)=t_(1)+(2)/(t_(1))`

D

`t_(2)=-t_(1)-(2)/(t_(1))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTION (LEVEL II)|30 Videos

  • PARABOLA

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|5 Videos

  • MOCK TEST PAPER -IV

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos

Similar Questions

Explore conceptually related problems

The normal at the point (bt_(1)^(2), 2bt_(1)) on a parabola meets the parabola again in the point (bt_(2)^(2), 2bt_(2)) , then :

The normal to the parabola y^(2)=8 x at the point (2,4) meets the parabola again at the point

If the normal to the parabola y^(2)=4 x at P(1,2) meets' the parabola again at Q , then Q is

The tangent drawn at any point P to the parabola y^(2)=4 a x meets the directrix at the point K, then the angle which K P subtends at its focus is

Show that the point (2,3) lies outside the parabola y^2=3x .

The line 4 x+6 y+9=0 touches the parabola y^(2)=4 x at the point

If the normal at (ct,c/t) on the curve xy=c^2 meets the curve again in 't' , then :

The area of the region bounded by the parabola (y-2)^2=x -1 , the tangent to the parabola at the point (2,3) and the x-axis is :

Find the points of the parabola y^2=2x where the focal distance is 5/2 .

The angle between the tangents drawn to the parabola y^(2)=12x from the point (-3,2) is