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Circles are drawn through the point (2, 0) to cut intercept of length 5 units on the x-axis. If their centers lie in the first quadrant, then find their equation.

A

`x^(2)+y^(2)-9x+2ky+14=0`

B

`3x^(2)+3y^(2)+27x-2ky+42=0`

C

`x^(2)+y^(2)-9x-2ky+14=0`

D

`x^(2)+y^(2)-2kx-9y+14=0`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. The equation x^(2)+y^(2)+4x+6y+13=0 represents

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  2. To which of the circles, the line y-x+3=0 is normal at the point (3+3s...

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

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

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

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  6. The circles x^(2)+y^(2)-10x+6=0andx^(2)+y^(2)=r^(2) intersect each oth...

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  7. The locus of the center of the circle which touches the circle x^(2)+y...

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

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  9. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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

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

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

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

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

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  16. A circle touches the x-axis and also touches the circle with center (0...

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

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

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

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

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