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(a,0) and (b, 0) are centres of two circ...

(a,0) and (b, 0) are centres of two circles belonging to a co-axial system of which y-axis is the radical axis. If radius of one of the circles 'r', then the radius of the other circle is

A

`(r^(2) + b^(2) + a^(2) )^(1//2)`

B

`(r^(2) + b^(2) - a^(2))^(1//2)`

C

`(r^(2) + b^(2) - a^(2))^(1//3)`

D

`(r^(2) + b^(2) + a^(2))^(1//3)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. If A, B, C are the centres of three circles touching mutually external...

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  2. If P and Q are the Points of intersection of the circles x^2 + y^2 + 3...

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  3. (a,0) and (b, 0) are centres of two circles belonging to a co-axial sy...

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  4. The limiting points of the coaxal system x^(2) + y^(2) + 2 lambda x ...

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  5. The limiting points of the coaxal system x^(2) + y^(2) +2 muy + 9 = ...

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  6. The equation to the coaxal system having the limiting points (0, pm 5)...

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  7. The equation to the coaxal system having the limiting (pm a, 0) is

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  8. The system of circles is x^(2) + y^(2) + 2 lambdax - 5 = 0 is

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  9. The system of circle x^(2) + y^(2) - 2 muy = 0 is

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  10. The condition for the coaxial system x^(2) + y^(2) + 2 lambda x + c ...

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  11. The equation to the line joining the centres of the circles belongin...

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  12. The limiting points of the coaxal system x^(2) + y^(2) + 11 x - 5y...

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  13. The limiting point of the coaxal system x^(2) + y^(2) + 5x + y + 4...

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  14. The limiting points of the coaxal system determined by the circles ...

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  15. The limiting points of the co-axal system containing the two circles ...

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  16. One limiting point of the coaxal system of circles containing x^(2...

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  17. If (2,1) is limiting point of the coaxa system of which x^(2) + y^(2...

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  18. Origin is a limiting point of a coaxal system of which x^(2) + y^(2...

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  19. The radical axis of the coaxal system of circles with limiting points ...

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  20. If (0,0) is one limiting point of a coaxal system of circles whose com...

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