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Let C be the circle with centre (0, 0) a...

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of `(2pi)/3` at its center is (A) `x^2+y^2=3/2` (B) `x^2+y^2=1` (C) `x^2+y^2=27/4` (D) `x^2+y^2=9/4`

A

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

B

`x^(2) + y^(2) = (27)/(4)`

C

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

D

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

Text Solution

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The correct Answer is:
C
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MOTION-CIRCLE-Exercise - 2(Level - I) (Objective Problems | JEE Main)
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  7. If the circle x^2+y^2 +4x+22y + c = 0 bisects the circumference of the...

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

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

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