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Find the equation of the circle which cu...

Find the equation of the circle which cuts the three circles `x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0,` and `x^2+y^2+2x-6y+9=0` orthogonally.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  2. The line A x+B y+C=0 cuts the circle x^2+y^2+a x+b y+c=0 at Pa n dQ . ...

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  3. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  4. Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 ...

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  5. 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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  6. 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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  7. 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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  8. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the ...

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

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

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

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

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

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

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

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

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

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

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

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

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