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If a circle passes through the point (a,b) and cuts the circles `x^(2) + y^(2) =4` orthogonally then the locus of its centre is

A

` 2ax+ 2by + a^(2) +b^(2) + 4= 0`

B

` 2ax-2by -(a^(2) +b^(2) +4) =0 `

C

` 2ax -2by +(a^(2) +b^(2) +4) =0`

D

` 2ax+2by -(a^(2) +b^(2) +4) =0 `

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-REVISION EXERCISE -SYSTEM OF CIRCLES
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  2. Tangents are drawn to circle x^(2) + y^(2) =12 at its points of inte...

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  3. The polars of a point P w.r.t. two given circles meet in Q .The radica...

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  4. The radical axis of two circles whose centres are ( 3,4), (-1,2) and e...

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  5. If S -= x^(2) +y^(2) -2x =0, S' -= x^(2) +y^(2) +3x =0 and if overset...

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  7. The locus of the centres of the circles passing thorugh the points of ...

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  8. For the circles x^(2) +y^(2) +2lambda x+ c =0 , x^(2) +y^(2) +2my - c=...

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  9. The circles x^(2) +y^(2) + 2ax +c =0 and x^(2) +y^(2) +2bx +c =0 have...

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  10. The circles x^(2) +y^(2) + 2ax +c =0 and x^(2) +y^(2) +2bx +c =0 have...

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  11. The radical axis of x^(2) +y^(2) -2ax =0 and x^(2) +y^(2) -2by =0 i...

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  12. r1, r2 are the radii of two non intersecting circles having A , B as ...

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  13. In Delta ABC , if A= (1,2) ,B= (3,4) and AC = 3, BC= 4 , then the equ...

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  14. A = (0,0 ) , B=( 4,0 ) ,C= ( 0,6) are the three centres of three circ...

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  15. Circles with radii 3,4,5 are touching each other externally , If P is ...

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  16. Three circles touch one another externally , The tangents at their poi...

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  17. If a circle passes through the point (a,b) and cuts the circles x^(2)...

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  18. The value of k for which the circle x^(2) + y^(2) -4x + 6y +3 =0 will...

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  19. If the point (2,k ) lies outside the circles x^(2) +y^(2) =13 and x^...

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  20. The midpoint of the chord intercepted by the circle x^(2) +y^(2) =16 o...

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