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Circles... 1) prove: The bisectors of the angles formed by producing the opposite sides of a quadrilateral(provided they are not equal) intersect at right angle.

2) two circles of unit radius touch each other and each of them touches internally a circle of radius 2 units. Find the radius of the circle which touches all the 3 circles.

3) Prove that the feet of perpendiculars drawn from a point on the circumcircle of a triangle on the sides are collinear.
asked by Krishanu Dutta (krishanudutta) 6 years ago
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