please answer my question sir
Asked by Vishnusasidharan | 5th Apr, 2010, 08:12: PM
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) = 2
2
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 | 7th Apr, 2010, 06:19: PM
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