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please answer my question sir

Asked by Vishnusasidharan 5th April 2010, 8:12 PM
Answered by Expert
Answer:

The chord will be hypotenuse of the right angled triangle with remaining two sides being the radius of the circle, which is 2.

The length of hypotenuse = (22+22) = 22

The length of 1/2 hypotenuse = 2

The length of perpendicular bisector, (22-2) = 2

Let the coordinates of the midpoint of the chord be (x,y).

The distance from origin,  (x2+y2) = length of perpendicular bisector =  2

Squaring both sides,

x2+y2 = 2,

Hence the locus is a circle with radius 2.

Regards,

Team,

TopperLearning

Answered by Expert 7th April 2010, 6:19 PM
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