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Prove that the angle inscribed in a semi circle is a right angle.
A chord AB one of the two concentric circles intersects the other circle at points C and D . Prove that , AC= BD.
A circle passes through the vertices of a right angled triangle. Show that the centre of the circle is the middle point of the hypotenuse.
Two chords AB and AC of a circle subtend equal angles with the radius passing through A. Prove that AB = AC.
Prove that the straight line joining the middle points of two parallel chords of a circle passes through the center and is perpendicular to the chords
A merchant has 1000 kg of sugar , part of which he sells at 8% profit and the rest at 18% profit. He gains 14 % on the whole. The quantity sold at 18% profit is..
One quality of wheat at Tk. 9.30 per kg is mixed with another quality at a certain rate in the ratio of 8:7. If the mixture so formed be worth Tk. 10 per kg, what is the rate per kg of tge second quality of wheat?