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Tangents are drawn to circle x^(2)+y^(2)...

Tangents are drawn to circle `x^(2)+y^(2)=1` at its iontersection points (distinct) with the circle `x^(2)+y^(2)+(lambda-3)x+(2lambda+2)y+2=0`. The locus of intersection of tangents is a straight line, then the slope of that straight line is .

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Tangents are drawn to the circle x^(2) + y^(2) = 12 at the points where it is met by the circle x^(2) + y^(2) - 5x + 3y -2 = 0 , find the point of intersection of these tangents.

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Knowledge Check

  • Tangents are drawn to the circle x^(2)+y^(2)=16 at the points where it intersects the circle x^(2)+y^(2)-6x-8y-8=0 , then the point of intersection of these tangents is

    A
    `(4, (16)/(3))`
    B
    `(12, 16)`
    C
    `(3, 4)`
    D
    `(16, 12)`

  • If the tangents are drawn to the circle x^(2)+y^(2)=12 at the point where it meets the circle x^(2)+y^(2)-5x+3y-2=0 , then the point of intersection of these tangents is

    A
    (6, -6)
    B
    `(6, 18//5)`
    C
    `(6, -18//5)`
    D
    none of these

  • Tangents are drawn to the circle x^(2)+y^(2) -2x-4y-4=0 from the point (1, 7), then slopes are

    A
    `pm (4)/(3)`
    B
    `pm (3)/(4)`
    C
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    D
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    Tangents are drawn to the circle x^(2)+y^(2)=9 at the points where it is met by the circle x^(2)+y^(2)+3x+4y+2=0. Fin the point of intersection of these tangents.

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