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If P and Q are the Points of intersectio...

If P and Q are the Points of intersection of the circles `x^2 + y^2 + 3x + 7y -2p - 5 = 0` and `x^2 +y^2 +2x +2y- p^2 =0` then there is a circle passing through P, Q and (1, 1) for

A

all except one value of p

B

all except two values of p

C

exactly one value of p

D

all values of p

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SYSTEM OF CIRLES -EXERCISE 1
  1. The radical centre of the three circles described on the three sides o...

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  2. If A, B, C are the centres of three circles touching mutually external...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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