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A variable chord PQ of the parabola y^2 ...

A variable chord PQ of the parabola `y^2 = 4ax` subtends a right angle at the vertex. The locus of the points of intersection of the normals at P and Q is the parabola

A

a parabola

B

a hyperbola

C

a circle

D

none of the above

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • A variable chord PQ of the parabola y^2=4 ax subtends a right angle at the vertex, then the locus of the points of intersection of the normal at P and Q is

    A
    a parabola
    B
    a hyperbola
    C
    a circle
    D
    None of these

  • A variable chord PQ of the parabola y=4x^(2) subtends a right angle at the vertex. Then the locus of points of intersection of the tangents at P and Q is

    A
    `4y+1=16x^(2)`
    B
    y + 4 = 0
    C
    `4y+4=4x^(2)`
    D
    4y + 1 = 0

  • A chord of the parabola y^2 = 4ax subtends a right angle at the vertex. The locus of the point of intersection of tangents at its extremities is

    A
    `x+a=0 `
    B
    `x+2a=0`
    C
    `x+ 4a =0 `
    D
    none

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