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WBJEE was tougher this time ...
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Given a cyclic quadrilateral with side lengths a,b,c,d the area K can be found as: K=\sqrt{(s-a)(s-b)(s-c)(s-d)} ...
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(2+\sqrt{3})^{x^{2}-2x+1} +(2-\sqrt{3})^{x^{2}-2x-1}=\frac{2}{2-\sqrt{3}} ...
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Find three distinct positive integers with the least possible sum such that the sum of the reciprocals of any two integers among them is an integral multiple of the reciprocal of the third integer. ...
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Find the number of 4-digit numbers(in base 10) having non-zero digits and which are divisible by 4 but not by 8. ...
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Let ABCDEF be a convex hexagon in which the diagonals AD, BE, CF are concurrent at O. Suppose the area of traingle OAF is the geometric mean of those of OAB and OEF; and the area of triangle OBC is the geometric mean of those ...
