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The point of intersection of the normals...

The point of intersection of the normals to the parabola `y^2=4x` at the ends of its latus rectum is

A

`(0,2)`

B

`(3,0)`

C

`(0,3)`

D

`(2,0)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The equation of tangents to the parabola y^2 = 4ax at the ends of latus rectum is :

    A
    `x-y + a=0`
    B
    `x+y+a=0`
    C
    `x+y-a=0`
    D
    both (a) and (b)

  • The point of intersection of the tangents of the parabola y^(2)=4x drawn at the end point of the chord x+y=2 lies on

    A
    x-2y=0
    B
    x+2y=0
    C
    y-x=0
    D
    x+y=0

  • What is the area of the parabola y^(2) = x bounde by its latus rectum ?

    A
    `1/12` square unit
    B
    `1/6` square unit
    C
    `1/3` square unit
    D
    None of the above

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