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The equation of the locus of the mid-poi...

The equation of the locus of the mid-points of chords of the circle `4x^(2) + 4y^(2) -12x + 4y + 1 = 0` that substend an angle `(2pi)/(3)` at its centre, is

A

`4x^(2)+4y^(2) -12x +4y +(31)/(4)=0`

B

`4x^(2) +4y^(2)-12x +4y +(27)/(4)=0`

C

`4x^(2) +4y^(2) -12x+4y+(21)/(4)=0`

D

none

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The correct Answer is:
A
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ML KHANNA-THE CIRCLE -Problem Set (5) (MULTIPLE CHOICE QUESTIONS)
  1. The locus of the mid-points of the chords of the circle x^(2)+y^(2)+4x...

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  2. The equation of the locus of the mid-points of chords of the circle 4x...

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  3. The locus of the mid-point of the chords of the circle x^(2)+y^(2)-2x...

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  4. The locus of the mid-points of the chords of the circle x^(2)+y^(2)-2a...

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  5. The locus of the midpoint of the chord of the circle x^2 + y^2 =4 whic...

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  6. Locus of the mid-points of the chords of the circle x^(2)+y^(2)=a^(2) ...

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  7. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

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  8. A variable chord is drawn through the origin to the circle x^(2)+y^(2)...

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  9. Locus of the middle points of the chords of the circle x^(2)+y^(2)-2x-...

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  10. If the circle x^(2)+y^(2) +2g x +2fy +c=0 bisects the circumference o...

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  11. If two distinct chords, drawn from the point (p, q) on the circle x^(2...

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  12. A chord of the circle x^(2)+y^(2)=a^(2) passes through a fixed point ...

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  13. The equation of the diameter of the circle (x-2)^(2)+(y+1)^(2) =16 wh...

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  14. The pole of the straight line 9x+ y - 28=0 with respect to the circle ...

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  15. The pole of the line 3x + 4y - 45=0 w.r.t. the circle x^(2)+y^(2)-6x...

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  16. Polar of origin (0, 0) w.r.t. the circle x^(2)+y^(2)+2lambda x +2 mu y...

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  17. The chords of contact of tangents from three points A,B,C to the circl...

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  18. The chord of contact of tangents drawn from any point on the circle x^...

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  19. If the tangents are drawn to the circle x^(2)+y^(2)=12 at the point w...

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  20. If O is the origin and OP, OQ are tangents to the circle x^(2)+y^(2)+2...

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