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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

exactly one value of `p`

B

all values of `p`

C

all except one value of `p`

D

all except two values of `p`

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
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  2. The point diametrically opposite to the point P (1, 0) on the circle x...

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  3. If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...

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  4. Three distinct points A, B and C are given in the 2 -dimensional coord...

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  5. The circle x^2+y^2 =4x+8y+5 intersects the line 3x-4y=m at two distinc...

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  6. The two circles : x^2+y^2 =ax and x^2+y^2=c^2 (c > 0) touch each other...

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  7. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

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  8. The circleS x^(2)+y^(2)-10 x+16=0 and x^(2)+y^(2)=r^(2) intersect eac...

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  9. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

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  10. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

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  11. The circle passing through the point (-1,0) and touching the y-axis at...

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  12. The equation of the circle passing through the point (1, 1) and the po...

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  13. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

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  14. The slope of the tangent at the point (h, h) of the circle x^(2) + y^(...

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  15. How many common tangents can be drawn to the following circles x^(2)+...

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  16. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

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  17. A variable chord of the circle x^2 + y^2 - 2 ax = 0 is drawn through t...

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  18. One of the diameters of the circle x^(2)+y^(2)-12 x+4 y+6=0 is give...

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  19. The length of the common chord of the circle x^(2)+y^(2)+2 x+3 y+1...

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  20. For the given circleS x^(2)+y^(2)-6 x-2 y+1=0 and x^(2)+y^(2)+2 x-8 y...

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