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The locus of the midpoint of the chord o...

The locus of the midpoint of the chord of the circle `x^(2)+y^(2)-2x-2y-2=0` which makes an angle of `120^(@)` at the centre is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. From origin chords are drawn to the cirlce x^(2)-y^(2)-2px=0 then locu...

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  2. The equation to the locus of the midpoints of chords of the circle x^(...

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  3. The locus of the midpoint of the chord of the circle x^(2)+y^(2)-2x-2y...

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  4. Let C be the circle with centre (0,0) and radius 3 units. The equation...

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  5. From the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0, a chord AB i...

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  6. The parametric equations x=(2a(1-t^(2)))/(1+t^(2)) and y=(4at)/(1+t^(...

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  7. If (pi)/6 and (pi)/2 are the ends of chord of the circle x^(2)+y^(2)=1...

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  8. If a straight line through C(-sqrt(8),sqrt(8)) making an asngle 135^(@...

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  9. The loucs of the point of intersection of the tangents to the circle x...

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  10. The locus of a point which divides the join of A(-1,1) and a variable ...

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  11. If the two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0...

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  12. Ilf the circle x^(2)+y^(2)=2 and x^(2)+y^(2)4x-4y+lamda=0 have exactly...

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  13. If the circles (x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2) to...

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  14. The common tangents to the circles x^(2)+y^(2)-6x=0, x^(2)+y^(2)+2x=0 ...

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  15. If the two circles x^(2)+y^(2)+2gz+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 t...

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  16. The point of contact of the circle x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(...

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  17. The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each ...

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  18. If the distance between the centres of two circles of radio 3,4 is 25 ...

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  19. Lengths of common tangents of the circles x^(2)+y^(2)=6x,x^(2)+y^(2)+2...

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  20. If (-1/3-1) is a centre of similitude for the circles x^(2)+y^(2)=1 an...

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