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Find the equation of the circle which to...

Find the equation of the circle which touches both the axes and the straight line `4x+3y=6` in the first quadrant and lies below it.

A

`4x^(2)+4y^(2) -4x -4y +1=0`

B

`x^(2)+y^(2) -6x -6y +9=0`

C

`x^(2)+y^(2)-6x-y+9=0`

D

`4(x^(2)+y^(2)-x-6y)+1=0`

Text Solution

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The correct Answer is:
A
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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. Find the equation of a circle which touches y-a xi s at a distance of ...

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  2. The equation of the circle touching the axis of x at the origin and th...

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  3. Find the equation of the circle which touches both the axes and the ...

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  4. The equation of the circle passing through (2, 1) and touching co-ordi...

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  5. The equation of a circle passing through (3,6) touching both the axes ...

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  6. The equation of common tangent to the circles x^(2)y^(2) +14x-4y +2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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