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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)=27//4`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
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  2. From the origin chords are drawn to the circle x^(2)+y^(2)-2y=0. The l...

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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. The equation of the straight line meeting the circle x-3y-15=0 and whi...

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  5. The equation of the straight line meeting the circle x^(2)+y^(2)=a^(2)...

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  6. If OA, OB are two equal chords of the circle x^(2)+y^(2)-2x+4y=0 perpe...

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  7. Let AB be the chord 4x-3y+5=0 with respect to the circle x^(2)+y^(2)-2...

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

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

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  10. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=25 whi...

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  11. The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 whic...

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

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

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  14. The length of the chords of the circle x^(2)+y^(2)-2x-6y-15=0 which ma...

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  15. The loucs of the midpoints of the chords of the circle 4x^(2)+4y^(2)-1...

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  16. The locus of the midpoints of chords of the circle x^(2)+y^(2)-6x+8y-2...

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

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  18. (a,b) is the midpoint of the chord AB of the circle x^(2)+y^(2)=r^(2)....

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  19. Find the equation of the pair of tangents from (10,4) to the circle ...

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  20. Find the pair of tangents drawn from (3,2) to the circle x^(2) + y^...

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