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Find the locus of the midpoint of the ch...

Find the locus of the midpoint of the chord of the circle `x^2+y^2-2x-2y=0` , which makes an angle of `120^0` at the center.

A

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

B

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

C

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

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The locus represented by x=a/2(t+1/t), y=a/2(t-1/t) is

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  2. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  3. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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  4. The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such ...

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

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  6. The equation of the circumcircle of the triangle formed by the lines y...

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  7. The equation x^(2)+y^(2)+4x+6y+13=0 represents

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

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

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

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

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

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

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

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  16. 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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  17. The equation of the circle described on the common chord of the circle...

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

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

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

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