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Sum of the squares of the length of the ...

Sum of the squares of the length of the tangents from the points (18, 18), (10, 20) and (21, 21) to the circle `x^(2) + y^(2) =25` is equal to ________ .

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Knowledge Check

  • The square of the length of tangent from (3, –4) on the circle x^(2) + y^(2) – 4x – 6y + 3 = 0

    A
    20
    B
    30
    C
    40
    D
    50

  • The length of the longest ray drawn from the point (4,3) to the circle x ^(2) + y ^(2) + 16 x + 18y + 1=0 is equal to

    A
    the radius of the circle
    B
    the diameter of the circle
    C
    circumference of the circle
    D
    the distance of the centre of the cirlce from the origin

  • The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

    A
    `45^(@)`
    B
    `60^(@)`
    C
    `90^(@)`
    D
    `120^(@)`

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    l and m are the lengths of the tangents from the origin and the point (9, -1) to the circle x^(2) + y^(2) + 18x - 2y + 32 = 0 The value of 17(l^(2) + m^(2)) is equal to ________ .

    If the squares of the length of the tangents from a point P to the circles x^(2)+y^(2)=a^(2),x^(2)+y^(2)=b^(2)andx^(2)+y^(2)=c^(2) are in AP ,then

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