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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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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. To which of the circles, the line y-x+3=0 is normal at the point (3+3s...

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  2. Circles are drawn through the point (2, 0) to cut intercept of length ...

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

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  4. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

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  5. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

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  6. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

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  7. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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  8. The locus of the mid-point of the chords of the circle x^2+y^2=4 wh...

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  9. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  10. The equation of the circle described on the common chord of the circle...

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  11. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

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  12. A circle passes through the origin and has its center on y=x If it cut...

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  13. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

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

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  15. A circle touches the x-axis and also touches the circle with center (...

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

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  17. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

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  18. The point (sintheta, costheta). theta being any real number, die insid...

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  19. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

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  20. The range of values of a for which the point (a, 4) is outside the cir...

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