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A variable circle passes through the fix...

A variable circle passes through the fixed point A(p, q) and touches axis. The locus of the other end of the diameter through A is

A

`(x-p)^(2)=4qy`

B

`(y-q)^(2)=4px`

C

`(y-p)^(2)=4qx`

D

`(x-q)^(2)=4py`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A variable circle passes through the fixed point (2,0) and touches the y-axis. Then the locus of its centre is

    A
    a parabola
    B
    a circle
    C
    an ellipse
    D
    a hyperbola

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    `(y-b)^(2)=4ac`
    C
    `y^(2)=4b(x-a)`
    D
    none

  • A line passes through a fixed point A(h, k). The locus of the foot of the perpendicular on it from origin is

    A
    1)`x^(2)+y^(2)+hx+ky=0`
    B
    2)`x^(2)+y^(2)-hx-ky=0`
    C
    `3)x^(2)+y^(2)-kx-hy=0`
    D
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