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The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle `x^(2)+y^(2)=9`, is

A

`(3//2, 1//2)`

B

`(1//2, 3//2)`

C

`(1//2, 1//2)`

D

`(1//2, -2^(1//2))`

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. The locus of the centre of a circle of radius 2 which rolls on the out...

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  2. The locus of the centre of the circle which touches externally the cir...

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  3. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  4. The equation of the circle having the lines x^(2)+2xy+3x+6y=0 as its n...

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  5. The circles x^(2)+ y^(2) -6x-2y +9 = 0 and x^(2) + y^(2) =18 are such...

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  6. If the two circles a(x^(2)+y^(2))+bx+cy=0 and p(x^(2)+y^(2))+qx+ry=0...

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  7. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

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  8. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

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  9. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

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  10. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

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

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

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

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

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

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

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

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

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

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