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A circle of radius 5 units touches both ...

A circle of radius 5 units touches both the axes and lies in the first quadrant. If the circle makes one complete roll on x-axis along the positive direction of x-axis, then its equation in the new position is

A

`x^(2)+y^(2) +20pi x -10y +100pi^(2)=0`

B

`x^(2)+y^(2) +20pi x +10y +100pi^(2) =0`

C

`x^(2)+y^(2) -20pi x -10y+100pi^(2)=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. The equation of common tangent to the circles x^(2)y^(2) +14x-4y +2...

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  2. The equations of the circles which touch both the axes and the line x ...

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  3. A circle of radius 5 units touches both the axes and lies in the first...

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  4. The radius of a circle touching x-axis and having centre (2, 4) is

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  5. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

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  6. The circle x^(2)+y^(2) - 2x+c=0 touches y-axis, then c =

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  7. If the two straight lines 3x - 2y - 8=0 and 2x - y -5=0 lie along two...

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  8. Two circles x^(2)+y^(2)=6 and x^(2)+y^(2)- 6x+8=0 are given. Then the...

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  9. The equation of the circle passing through the intersection of the cir...

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  10. The equation of the circle having its centre on the line x+2y-3=0 and ...

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

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  12. The equation of the circle which passes through the origin and the poi...

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  13. The circle passing through the intersection of circle x^(2)+y^(2) -3x-...

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  14. If the two curves ax^(2) +2hxy +by^(2) +2g x+2fy +c=0 and d x^(2) +2...

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  15. One of the limit point of the coaxial system of circles containing x^...

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  16. The four point of intersection of the lines ( 2x -y +1) ( x- 2y +3) =...

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  17. If the lines a(1)x+b(1)y+c(1)=0 and a(2)x+b(2)y+c(2)=0 cut the co-ordi...

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  18. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  19. If alpha, beta, gamma,delta be four angles of a cyclic quadrilateral t...

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  20. P, Q, R and S are the points of intersection with the co-ordinate axes...

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