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If a circle Passes through a point (a,b) and cut the circle `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

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-CIRCLE -Exercise For Session 7
  1. Find the angle at which the circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 in...

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  2. If the circles of same radius a and centers at (2, 3) and 5, 6) cut or...

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  3. Find the derivative of function (x + a) from first principle .

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  4. If a circle Passes through a point (a,b) and cut the circle x^2+y^2 = ...

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  5. The loucs of the centre of the circle which cuts orthogonally the circ...

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  6. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  7. Find the equation of the radical axis of circles x^2+y^2+x-y+2=0 and 3...

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  8. The radius and centre of the circles x^(2)+y^(2)=1,x^(2)+y^(2)+10y+24...

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  9. If (1, 2) is a limiting point of a coaxial system of circles containin...

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  10. The limiting points of the system of circles represented by the equati...

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  11. One of the limiting points of the co-axial system of circles containin...

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  12. The point (2,3) is a limiting point of a co-axial system of circles of...

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  13. Find the derivative of function sin(x + 1) from first principle .

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  14. Find the equation of the circle which cuts orthogonally the circle x^2...

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  15. Tangents are drawn to the circles x^(2)+y^(2)+4x+6y-19=0,x^(2)+y^(2)=9...

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  16. Find the coordinates of the point from which the lengths of the tangen...

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  17. Find the equation of a circle which is co-axial with the circles x^(2)...

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  18. Find the radical axis of co-axial system of circles whose limiting poi...

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