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The circle orthogonal to the three circl...

The circle orthogonal to the three circles `x^2+y^2+a_i x +b_i y+c=0`, (i=1,2,3) is

A

`x^2+y^2-b_i x-a_i y-c=0`

B

`x^2+y^2=c`

C

`x^2+y^2=a_i + b_i`

D

`x^2+y^2=a_i`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-I (Class work)
  1. If radii of two circles are 4 and 3 and distance between centres is sq...

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  2. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

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  3. The angle between two circles , each passing through the centre of the...

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  4. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

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  5. If the circles of same radii and with centres (2,3),(5,6) cut orthogon...

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  6. The circle with centres (2,3) and intersecting x^2+y^2-4x+2y-7=0 ortho...

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  7. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthog...

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  8. The locus of centres of the circles which cut the circles x^2+y^2+4x-6...

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  9. The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally t...

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  10. The equation of the radical axis of the pair of circles 7x^2+7y^2-7x+1...

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  11. The common tangent at the point of contact of the two circles x^2+y^2...

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  12. The distance from origin to the radical axis of the circles x^2+y^2-3x...

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  13. Area of the triangle formed by the radical axis of the circles x^2+y^2...

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  14. The circle orthogonal to the three circles x^2+y^2+ai x +bi y+c=0, (i=...

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  15. The equation of the circle which cuts the three circles x^2+y^2-4x-6y+...

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  16. The length of the common chord of two circles of radii r1 and r2 which...

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  17. The length of the common chord of the circles of radii 15 and 20 whos...

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  18. The length of the common chord of x^2+y^2+2hx=0 , x^2+y^2-2ky=0 is

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  19. The equation of the circle passing through (1,2) and the points of int...

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

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