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Let C be the circle with centre (0,0) an...

Let C be the circle with centre (0,0) and radius 3 units. The equation of the locus of the midpoint of the chords of the circle C that substend an angle of `2pi//3` at its centre is

A

`x^(2)+y^(2)=3/2`

B

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

C

`x^(2)+y^(2)=27/4`

D

`x^(2)+y^(2)=9/4`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-CIRCLES-EXERCISE II
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  2. The locus of the midpoint of the chord of the circle x^(2)+y^(2)-2x-2y...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The equation of the circle radius is 5 and which touches the circle x^...

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