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Determine a circle which cuts orthogonal...

Determine a circle which cuts orthogonally each of the circles. `S_1 : x^2+y^2+4x-6y+12=0`
`S_2 : x^2+y^2+4x+6y+12=0`
`S_3 : x^2+y^2-4x+6y+12=0`

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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. If a circle S intersects circles S1 and S2 orthogonally. Prove that th...

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  2. R is the radical centre of circles S1, S2 and S3. Prove that if R is o...

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  3. Determine a circle which cuts orthogonally each of the circles. S1 : x...

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  4. Prove that on pair of concentric circles can have a radical axis.

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  5. The equation of the directrix to the parabola x^2=-6yis .

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  6. The eccentricity of the parabola y^2=8xis .

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  7. The line y+x=k is tangent to the parabola y^2+12x=0 if k=.

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  8. The latus rectum of the parabola (y-2)^2=8(x+3) is .

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  9. The equation of tangent to the parabola x^2=6y at vertex is .

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  10. The equation of axis of the ellipse x^2/16+y^2/9=1 is .

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  11. The equation of the major axis of ellipse (x+1)^2/16+(y-2)^2/9=1 is .

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  12. The distance between the focii of the ellipse 3x^2+4y^2=1 is .

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  13. The ecentricity of the ellipse x^2/16+y^2/25=1 is .

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  14. The line y=2x+k is a tangent to the ellipse 5x^2+y^2=5 if k =.

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  15. The length of the latus rectum of the ellipse (x-2)^2/4+(y+3)^2/25=1 i...

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  16. The equation of the conjugate axis of the hyperbola x^2/9-(y+2)^2/16=1...

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  17. The hyperbola y^2/16-x^2/12=1 intersects x-axis at .

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  18. The eccentricity of the parabola 4x^2-3y^2=1 is .

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  19. The latus rectum of the hyperbola x^2/9-y^2/16=1 is .

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  20. The line y=3x-k is a tangent to the hyperbola 6x^2-9y^2=1 if k=.

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