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If a point P is moving such that the len...

If a point P is moving such that the lengths of tangents drawn from P to the circles
`x^(2)+y^(2)-4x-6y-12=0` and
`x^(2)+y^(2)+6x+18y+26=0` are the ratio 2:3, then find the equation to the locus of P.

Answer

Step by step text solution for If a point P is moving such that the lengths of tangents drawn from P to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 are the ratio 2:3, then find the equation to the locus of P. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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If a point P is moving such that the lengths of tangents drawn from P to the circles x^(2) + Y^(2) -4x -6y -12 = 0 and x^(2) +y^(2) + 6x + 18 y + 26 = 0 are in the ratio 2 : 3 , then find jthe equation of the locus of P.

If a point P is moving such that the lengths of the tangents drawn form P to the circles x^(2) + y^(2) + 8x + 12y + 15 = 0 and x^(2) + y^(2) - 4 x - 6y - 12 = 0 are equal then find the equation of the locus of P

Knowledge Check

  • If the lengths of the tangents drawn from P to the circles x^(2)+y^(2)-2x+4y-20=0 and x^(2) +y^(2)-2x-8y+1=0 are in the ratio 2:1, then the locus P is

    A
    `x^(2)+y^(2)+2x+12y+8=0`
    B
    `x^(2)+y^(2)-2x+12y+8=0`
    C
    `x^(2)+y^(2)+2x-12y+8=0`
    D
    `x^(2)+y^(2)-2x-12y+8=0`

  • The angle between the tangents drawn from (0,0) to the circle x^(2)+y^(2)+4x-6y+4=0 is

    A
    `Sin^(-1)""5/13`
    B
    `Sin^(-1)""5/12`
    C
    `Sin^(-1)""12/13`
    D
    `pi/2`

  • The number of tangents that can be drawn from (6,0) to the circle x^(2)+y^(2)-4x-6y-12=0 are

    A
    4
    B
    3
    C
    1
    D
    2

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