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The locus of the mid points of all equal...

The locus of the mid points of all equal
chords in a circle is :

A

the circumference of the circle
concentric with the given circle and
having radius equal to the length of the
chords

B

the circumference of the circle
concentric with the given circle and
having radius equal to the distance of
the chords from the centre

C

the circumference of the circle
concentric with the given circle and
having radius equal to half of the radius
of the given circle

D

the circumference of the circle
concentric with the given circle and
having radius equal to half of the
distance of the chords from the centre

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Knowledge Check

  • Locus of mid point of AB is

    A
    `x^(2) = - 2y `
    B
    `2x^(2) = - y`
    C
    `x^(2) = - 4y`
    D
    `x^(2)/2 - y^(2)/1 = - 1`

  • The locus of the mid - points of the parallel chords with slope m of the rectangular hyperbola xy=c^(2) is

    A
    `y+mx=0`
    B
    `y-mx=0`
    C
    `my-x=0`
    D
    `my+x=0`

  • The locus of the mid -point of the chords of a circle x^(2)+y^(2)=4 ,which subtends a right angle at the centre , is

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

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    Find the locus of the mid point of the chord of a circle x^(2) + y^(2) = 4 such that the segment intercepted by the chord on the curve x^(2) – 2x – 2y = 0 subtends a right angle at the origin.

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