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Let C be the locus of the mirror image o...

Let C be the locus of the mirror image of a point on the parabola `y^(2)=4x` with respect to the line y=x. Then the equation of tangent to C at P(2, 1) is :

A

x-y=1

B

2x+y=5

C

x+3y=5

D

x+2y=4

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Knowledge Check

  • The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

    A
    a circle
    B
    a parabola
    C
    a straight line
    D
    an ellipse

  • The equation of tangent to the parabola y^(2) = 4x + 5 which is parallel to the line y = 2x + 7 is:

    A
    `y = 2x + 3`
    B
    `y = 2x + 4`
    C
    `y = 2x + 5`
    D
    ``y = 2x + 1`

  • The locus of the mid-points of the chords of the parabola y^(2)=4x which toch the parabola x^(2)=-8y is

    A
    `y^(3)-2xy-8=0`
    B
    `y^(3)+2xy-8=0`
    C
    `y^(3)-2xy+8=0`
    D
    `y^(3)-xy-8=0`
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