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The equation of three circles are given ...

The equation of three circles are given `x^2+y^2=1,x^2+y^2-8x+15=0,x^2+y^2+10 y+24=0` . Determine the coordinates of the point `P` such that the tangents drawn from it to the circle are equal in length.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

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  2. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

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  3. The equation of three circles are given x^2+y^2=1,x^2+y^2-8x+15=0,x^2+...

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  4. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the ...

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  5. A circle passes through the origin and has its center on y=x If it cut...

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  6. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

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  7. The tangent to the circle x^2+y^2=5 at (1,-2) also touches the circle ...

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  8. If S(1)=alpha^(2)+beta^(2)-a^(2), then angle between the tangents from...

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  9. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

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  10. Find the angle between the two tangents from the origin to the circle ...

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  11. Two circles C1 and C2 intersect at two distinct points PandQ in a line...

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  12. Find the equation of the tangent at the endpoints of the diameter of ...

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  13. Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 whic...

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  14. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

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  15. The lengths of the tangents from P(1,-1) and Q(3,3) to a circle are sq...

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  16. Which of the following is a point on the common chord of the circle x^...

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  17. If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersec...

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  18. The circles x^2+y^2+x+y=0and x^2+y^2+x-y=0intersect at an angle of

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  19. The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the ori...

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  20. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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