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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 (1) all values of p (2) all except one value of p (3) all except two values of p (4) exactly one value of p

A

All values of p

B

all except one value of p

C

all except two values of p

D

exactly one values of p.

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-CONIC SECTIONS -COMPETITION FILE
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  2. A focus of an ellipse is at the origin. The directrix is the line x =4...

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

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  8. The equation of the circle passing through the point (1,0) and (0,1) a...

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  10. The equation of the hyperbola whose foci are (-2, 0) and (2,0) and ecc...

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  15. Let C be the circle with centre at (1, 1) and radius = 1. If T is t...

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  16. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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