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Points A(-1, y) and B(5, 7) lie on a ci...

Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y).
Find the values of y. Hence, find the radius of the circle.

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The correct Answer is:
`:.` Radius of the circle = 5 units.
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Knowledge Check

  • If a circle whose centre is (1, -3) touches the line 3x - 4y - 5 = 0 , then the radius of the circle is

    A
    2
    B
    4
    C
    `5/2`
    D
    `7/2`

  • If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of the circle.

    A
    `3/4`
    B
    `4/3`
    C
    `1/4`
    D
    `7/4`

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