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If the two circles x^(2) + y^(2) =4 and ...

If the two circles `x^(2) + y^(2) =4` and `x^(2) +y^(2) - 24x - 10y +a^(2) =0, a in I `, have exactly two common tangents then the number of possible integral values of a is `:`

A

0

B

2

C

11

D

13

Text Solution

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The correct Answer is:
D
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ML KHANNA-THE CIRCLE -Problem Set (4) (MULTIPLE CHOICE QUESTIONS)
  1. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

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  2. The circle S(1)(a(1),b(1)), r(1) touches externally the circles S(2) ...

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  3. The circles x^(2)+y^(2)-4x+6y+8=0 and x^(2)+y^(2)-10x-6y+14=0

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  4. Equation of a circle with centre (4,3) touching the circle x^(2)+y^(2)...

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  5. Centre of the circle whose radius is 3 and which touches internally th...

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  6. Equation of the circle touching the circle x^(2) + y^(2) -15x + 5y =0 ...

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  7. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  8. The locus of centre of the circle which touches the circle x^(2)+(y-1)...

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  9. The circle x^(2)+y^(2)-2ax+c^(2)=0 and x^(2)+y^(2)-2by+c^(2)=0 will ...

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  10. The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each...

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  11. Given the equation of two circles x^(2)+y^(2)=r^(2) and x^(2) +y^(2) ...

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  12. If the two circles x^(2) + y^(2) =4 and x^(2) +y^(2) - 24x - 10y +a^(2...

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  13. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

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  14. The number of common tangents to the circles x^(2)+y^(2)+2x+8y-23=0...

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  15. The number of common tangents to the circles x^(2)+y^(2) -x=0, x^(2)+...

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

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  17. The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2...

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  18. The common tangents to the circles x^(2) +y^(2) +2x = 0 and x^(2) +y^(...

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  19. The locus of the centre of the circles which touch both the circles x^...

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  20. A circle touches the x-axis and also touches the circle with centre (0...

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