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The circles x^(2)+ y^(2) -6x-2y +9 = 0 ...

The circles `x^(2)+ y^(2) -6x-2y +9 = 0 ` and `x^(2) + y^(2) =18` are such that they `:`

A

touch each other

B

intersect

C

one lies inside the other

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THE CIRCLE -Problem Set (4) (MULTIPLE CHOICE QUESTIONS)
  1. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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

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

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  4. 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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  5. 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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  6. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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