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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 =4` which subtends a right angle at the origin is?

A

`x+y=2`

B

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

C

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

D

`x+y=1`

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The distance between the chords of contact of the tangents to the circ...

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  20. The area of the triangle formed by the tangents from the point (4,3) t...

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