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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.

A

`x^(2)+y^(2)-2x-4y+1=0`

B

`x^(2)+y^(2)+2x+4y+1=0`

C

`x^(2)+y^(2)-2x+4y+1=0`

D

`x^(2)+y^(2)-2x-4y-1=0`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

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  2. If the chord of contact of the tangents drawn from the point (h , k) t...

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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. The equation of the circle which passes through (2a, 0) and has the ra...

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  5. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  6. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  7. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  8. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  9. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  10. The equation of the image of the circle x^2+y^2+16x-24y+183=0 by the l...

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  11. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  12. Equation of the circle through the origin and making intercepts of 3 a...

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  13. If y=2x is the chord of the circle x^2+y^2-4x=0, find the equation of ...

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  14. The tangent to x^(2)+y^(2)=9 which is parallel to y-axis and does not ...

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  15. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

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  16. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at Aa n dB , th...

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  17. The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the poi...

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  18. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  19. The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x...

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  20. The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and ...

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