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

A

`2x+4y-9=0`

B

`2x+4y+9=0`

C

`2x-4y+9=0`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x...

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

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

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  4. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

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  5. Coordinates of the centre of the circle which bisects the circumferenc...

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  6. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

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  7. The points of contact of tangents to the circle x^(2)+y^(2)=25 which a...

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  8. If (mi,1/mi),i=1,2,3,4 are concyclic points then the value of m1m2m3m4...

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  9. Find the area of the triangle formed by the tangents from the point (4...

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  10. The tangent at P, any point on the circle x^2 +y^2 =4 , meets the coor...

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  11. The equation of the circle which touches the axes of coordinates and ...

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  12. If the chord of contact of the tangents from a point on the circle x^2...

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  13. If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0, t...

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  14. The locus represented by x=a/2(t+1/t), y=a/2(t-1/t) is

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  15. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  16. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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  17. The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such ...

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  18. The equation of the circle having its centre on the line x+2y-3=0 and ...

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  19. The equation of the circumcircle of the triangle formed by the lines y...

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  20. The equation x^(2)+y^(2)+4x+6y+13=0 represents

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