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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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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

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  2. The centres of two circles C(1) and C(2) each of unit radius are at a...

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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. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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

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  6. Statement 1 : If a circle S=0 intersects a hyperbola x y=4 at four poi...

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  7. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

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  8. The locus of the mid-point of the chord of contact of tangents drawn f...

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  9. A tangent PT is drawn to the circle x^(2)+y^(2)=4 at the point P(sqrt3...

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  10. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  11. The length of the diameter of the circle which touches the x-axis at ...

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  12. The circle passing through (1, -2) and touching the axis of x at (3,...

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  13. Circle(s) touching x-axis at a distance 3 from the origin and having a...

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

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  15. A circle S passes through the point (0, 1) and is orthogonal to the ci...

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  16. Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+"...

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  17. The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...

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  18. The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...

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  19. If one of the diameters of the circle, given by the equation, x^2+y^2-...

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  20. Let RS be the diameter of the circle x^2+y^2=1, where S is the point (...

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