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The locus of the mid point of a chord of...

The locus of the mid point of a 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

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
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  2. A B is a diameter of a circle and C is any point on the circle. ...

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  3. The locus of the mid point of a chord of the circle x^2+y^2=4 which su...

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  4. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

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  5. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

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  6. If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = ...

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  7. If the chord of contact of the tangents drawn from the point (h , k) t...

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  8. Find the equation of the circle which cuts the three circles x^2+y^2-3...

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  9. The equation of the circle which passes through (2a, 0) and has the ra...

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  10. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  11. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  12. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

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  13. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  14. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  15. The equation of the image of the circle x^2+y^2+16x-24y+183=0 by the l...

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  16. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  17. Equation of the circle through the origin and making intercepts of 3 a...

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  18. If y=2x is the chord of the circle x^2+y^2-4x=0, find the equation of ...

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  19. The tangent to x^(2)+y^(2)=9 which is parallel to y-axis and does not ...

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  20. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

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