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What will be the arrangement of 6 spheres of equal radius such that it totally covers a source of light? ...

A class 5 sum my sister showed me and i could not do..!!!! A+B+C+D=152 D+E+F=117 find D !!! mujhse class 5 wala sum nahi huwa!! :(( ...

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In YDSE the angular width of a fringe formed on distant screen is 10 the wavelength of light used is 6000Λ . What is the spacing between the slits? ...

If y=x dy/dx + dx/dy then find y when x=4? ...

How do I prove sin2A-sin2B=sin(A+B)sin(A-B) ? ...

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... ...

A class contains 3 girls and four boys. Every Saturday five students go on a picnic, a different group of students is being sent each week. During the picnic, each girl in the group is given a doll by the accompanying teacher ...

Is there any shorter way to solve this ques. Consider the equation x2+y2 = 2007. How many solutions (x; y) exist such that x and y are positive integers? (A) None (B) Exactly two (C) More than two but nitely many (D) In fitel ...

The area of right angled triangle in terms of r and r1 if A = 90°.( where r, r1 have their usual meanings), is: (A) r + r1 (B) rr1 (C) r – r1 (D) r1 – r ...

This has been discussed before but it is important... a+b+c=4 a2+b2+c2=6 a3+b3+c3=8 Find [a4+b4+c4] where [] denotes G.I.F? P.s:I know a method but i'm not sure if it's the shortest one to do this problem....thus sharing this ...

Let 0 < a < b. Consider two circles with radii a and b and centers (a, 0) and (b, 0) respectively with 0 < a < b. Let c be the center of any circle in the crescent shaped region M between the two circles and tange ...

\hspace{-16}\bf{(1)\;\; \int_{e^{e^{e}}}^{\infty}\frac{1}{x.(\log x).({\log \log x}).(\log \log \log x)^{\frac{4}{3}}}dx}$\\\\\\ $\bf{(2)}$ For Which Integer $\bf{ 1\leq m\leq 10}$ is it true that\\\\\\ $\bf{\int_{0}^{\pi}(\c ...

Find the least number which when divided by 24,32 and 36 leaves the remainder 19,27,31 respectively. ...

The grid is 4X3 rectangular Determine the number of paths from the lower-left corner of the left grid to the upper-right corner. ...

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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The total number of three digit numbers, the sum of whose digits is even, is equal to: (A) 450 (B) 350 (C) 250 (D) 325 ...

Find the least number which when divided by-------------10--9--8--7--6--5--4--3--2--1 leaves remainder-----9--8--7--6--5--4--3--2--1--0 ...

Prove that if 3 prime numbers greater than are in AP then common difference is divisible by 6. ...

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Suppose n is a natural number such that i + 2i^2 + 3i^3 +................+ ni^n=18√2,where i is √-1.Then n is... ...

The directing power of the groups -N{{H}_{2}},-OC{{H}_{3}},-{{C}_{6}}{{H}_{5}}~and-N{{O}_{2}} follows the order ...

In the nitration of benzene, the active nitrating agent is ...

Let a,b,c be three distinct real numbers such that the expression ax2+bx+c, bx2+cx+a, and cx2+ ax+b is positive for each x belongs to R and let α =(bc+ca+ab)/(a2+b2+c2) Then (a) α<4 (b) α<1 (c) α>1/4 (d) α>1 ...

Is it ever possible that a body moving down an inclined plane acquires so much velocity that it moves higher when it is ascending the other plane? Like in the top picture, can it rise higher than from where it was rolled on t ...

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Why are alkynes less reactive than alkenes even though they have 2 pi bonds? ...

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