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The locus of the midpoint of a chord of ...

The locus of the midpoint of a chord of the circle `x^2+y^2=4` which subtends a right angle at the origins is (a) `x+y=2` (b) `x^2+y^2=1` `x^2+y^2=2` (d) `x+y=1`

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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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. The locus of the center of the circle which touches the circle x^(2)+y...

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  2. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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

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  4. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  5. The equation of the circle described on the common chord of the circle...

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  6. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

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  7. A circle passes through the origin and has its center on y=x If it cut...

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  8. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

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  9. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

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  10. A circle touches the x-axis and also touches the circle with center (0...

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  11. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

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  12. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

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  13. The point (sintheta, costheta). theta being any real number, die insid...

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  14. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

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  15. The range of values of a for which the point (a, 4) is outside the cir...

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  16. about to only mathematics

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  17. If the point (lambda,lambda+1) lies inside the region bounded by the c...

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  18. about to only mathematics

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  19. The abscissa of the two points A and B are the roots of the equation x...

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  20. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

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