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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 except two values of p

B

exactly one `

C

all values of p

D

all except one vlaue of p.

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. Three distinct points A, B and C are given in the 2–dimensional coor...

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

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  4. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

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

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  6. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

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

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

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  9. If each of the lines 5x + 8y = 13 and 4x - y = 3 contains a diameter o...

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  10. lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-...

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  11. If two vertices of an equilateral triangle are A (-a,0)and B (a,0), a ...

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  12. If the circle x ^(2) +y ^(2) - 6x - 8y + (25 -a ^(2)) =0 touches the a...

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  13. Statement I : The only circle having radius sqrt(10) and a diameter al...

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  14. If a circle of unit radius is divided into two parts by an arc of anot...

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  15. 1) 1/5 2) 10 3) 10v2 4) 5v2 Let C be the circle with centre at (1,1) a...

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  16. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

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  17. The set of all real values of lambda for which exactly two common tang...

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  18. For the two circles x^2+y^2=16 and x^2+y^2-2y=0 there are

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  19. The equation of the circle described on the chord 3x + y + 5 =0 of the...

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

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