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The locus of midpoints of the chord of t...

The locus of midpoints of the chord of the circle `x^(2)+y^(2)=25` which pass through a fixed point (4,6) is a circle. The radius of that circle is

A

`sqrt52`

B

`sqrt2`

C

`sqrt13`

D

`sqrt10`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is

    A
    `y^(2)+5y+3x+27=0`
    B
    `y^(2)+5y-3x+27=0`
    C
    `y^(2)-5y-3x+27=0`
    D
    `y^(2)-5y-3x-27=0`

  • The locus of midpoints of chords of the circle x^(2)+y^(2)-2px=0 passing through the origin is

    A
    `x^(2)+y^(2)+2px=0`
    B
    `x^(2)+y^(2)-px=0`
    C
    `x^(2)+y^(2)+px=0`
    D
    `x^(2)+y^(2)-4px=0`

  • The locus of middle point of chord of the parabola y^(2)=4ax passing through the fixed point (h,k) is

    A
    `y(y+k)=2a(x+h)`
    B
    `y(y-k)=2a(x-h)`
    C
    `y(y-h)=2a(x+h) `
    D
    `y(y+k)=2a(x-h)`

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