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The locus of midpoints of the chord of t...

The locus of midpoints of the chord of the circle `x^(2)+y^(2)=25` which pass through a fixed point (4,6) is a circle. The radius of that circle is

A

`sqrt52`

B

`sqrt2`

C

`sqrt13`

D

`sqrt10`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
  1. The midpoint of the chord formed by the polar of (-9,12) w.r.t. x^(2)+...

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  2. The locus of midpoints of chords of the circle x^(2)+y^(2)-2px=0 passi...

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  3. The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which...

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  4. From the origin chords are drawn to the circle x^(2)+y^(2)-2y=0. The l...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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