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Find Σ r2*Cr ...
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A container (both side open is kept inverted as shown in the figure. Dimensions are given in the picture itself. The container is completely filled with a liquid. Find the minimum mass of the container so that it can stay on ...
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If a,b,c are integers and are the sides of a right angle triangle,where c is the largest,prove that the area of that triangle is divisible by 6. ...
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Q1:The teacher of a class having a large number of students decides to take a test.After the test ended the teacher took the papers from the students and randomly distributed them among the students to check. Prove that the p ...
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sin a+cos b=2/3 sin b+cos a=1/3 Find tan((a-b)/2)? Note:Please give the shortest method....I know the longer one... ...
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Prove that if 3 prime numbers greater than are in AP then common difference is divisible by 6. ...
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Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. The number of ways in which we can place the balls in the boxes ( order is not considered in the box) so th ...
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Although some you might have seen this question before give it a try. If p,q are positive integers such that- 1- 1/2 + 1/3 - 1/4 +.........- 1/1318 + - 1/1319 = p/q Show that 1979 divides p. ...
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2nCn/(n+1) is an integer. ...
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A cylinder of radius R made of a material of thermal conductivity 7 is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The shell is made of a material of thermal conductivity 3. The two ends of the co ...
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The number of right angled triangles with integer sides and inradius r=2013 is (a) 13 (b) 17 (c) 27 (d) 39 ...
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A spherical ball of mass m and radius r rolls without slipping on a rough concave surface or large radius R. It makes small oscillations about the lowest point. Find the time period. (H.C. Verma Part-1 S.H.M.-Q. No:39) ...
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Show that Δ < s2/4 ...
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Represent m6+n6 as a sum of 2 squares other than (m3)2+(n3)2. Think its easy....give it a try!:P ...
