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What is mono chloro derivatives?? ...
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1,Is the theorem of perpendicular axes only applicable for planar bodies? 2,Why detergents have small angles of contact? 3,Why in desert areas, the earth surface warms up quickly during the day and cools quickly at night? 4,C ...
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Roots of the equations x2+px+q=0 & x2+rx+s=0 are respectively (α,β), (γ,δ). Write down the value of {(α-γ)(α-δ)(β-γ)(β-δ)} in terms of p,q,r,s . And find out the condition of having common roots of those equetions ...
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can any1 prove the result that number of digits in xy is [ylogx+1]....where [] denotes G.I.F? ...
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How do we integrate x2/(a+bx)2.????(indefinite) ...
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given for angles A1,A2,A3 ΣcosA = ΣsinA = 0 prove that 1)Σcos2A = Σsin2A = 0 2)Σcos2A = Σsin2A = 3/2 ...
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find the first non-zero digit in 80!? ...
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A tank contains 100 Litres of an aqueous solution containing 10 Kg of salt water is entering in the tank at the rate of 3 Litres per minute and the mixture is flowing out at 2 litre per minute, the concentric is maintained un ...
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if 21(x2 + y2 + z2 )=(x + 2y +4z)2 find the relation between x,y,z a)ap b)gp c)hp d)none of them problem form new pattern math-sk goyal ...
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1) Find the last digit of ((5!+9)(6!+4))100! How do we do these types of sums? i think we can't do this by taking modulo 10... ...
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f(x)= (e[x]+|x| -2)/[x]+|x| Find limit of f(x) when x tends to 0.[x] stands for G.I.F and |x| denotes the modulus sign. ...
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Given a circle with center at ' A ' which touches the X - Axis at ' B ' with radius 1 unit. ' C ' is the origin from which a tangent at ' E ' is drawn to me line through ' AB ' at ' D ' such that angle ' CBD ' = 90°. The per ...
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1)Two squares are chosen at random from the 64 squares of a chessboard The probability that they have a side in common is ___ Probability that they have just one vertex in common is ____ 2)If P(AUB)=P(A∩B), (a)P(A)=P(B) (b) ...
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a 4 digit number(numbered from 0000 to 9999) is said to be lucky if sum of its first two digits is same as the sum of its last 2 digits.If a four-digit number is picked up at random,the probability that it is a lucky number i ...
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P (5,3) . R lies on y=x and Q lies on x axis. what is the co-ordinate of Q so that PR+PQ+QR is minimum? ...
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When the momentum of a body increased by 10%, its kinetic energy (K.E.) by a)20% b)40% c)44% d)none of these PLEASE GIVE FULL DETAILS ABOUT THE PROBLEM . ...
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hello guys, i am a aspirant for jee2012,i know there is very less time left,but can anyone tell me good books for practicing physics,calculus and coordinate geometry(objective problems only)? ...
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1)Find the number of isosceles triangles with integer sides if no side exceeds 1994. ...
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I Differentiated it d tan(cos-1x)/d x hint given is =>tanθ= 1/ 1+x2 which I think is not possible in any way Answer given inthe book is = -3x(1+x2)-3/2 the way i did the sum is as follows cos-1x=θ =>tanθ= 1-x2 /x .'. ...
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1)In an AP, Sn = n2p,Sk = k2p ; k,n,p are natural numbers and k≠n Sp = ? can we answer p2p just by seeing the pattern? 2) 1/1x2 + 1/2x3 + 1/3x4 +,,,,,,,,, to n terms 3)Sum of 9 AM's between 2 and 24 is _____ 4)If a,b,c be r ...
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1,limit (x-:0) is abbreviated as L0 L0f(x) = l , which is real, then a) L0f(x2) = l2 b) L0f( x/l ) = 1 c) L0f(2x) = 2l d) L0f(-x) = l 2,If La f(x) and Lag(x) exist finitely then an incorrect statement among the following a) L ...
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\hspace{-16}$Suppose that $\mathbf{\log_{y}x+\log_{x}y=11}$\\\\ Then Evaluate $\mathbf{(\log_{y}x)^k+(\log_{x}y)^k=}$\\\\ For $\mathbf{k=2\;,3\;,4\;,5}$ ...
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\hspace{-16}$Calculate Sum of \\\\ $\mathbf{(1)\;\; \cos^{2n}1^{\arc0}+\cos^{2n}2^{\arc0}+\cos^{2n}3^{\arc0}+\cos^{2n}4^{\arc0}+..........+\cos^{2n}89^{\arc0}=}$\\\\ $\mathbf{(2)}$ \;\; Prove that $\mathbf{\cos^{10}1^{\arc0}+ ...
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\hspace{-16}$For each Integer $\mathbf{n\geq 2}$.Determine the values of the integrals\\\\ $\mathbf{(1)\;\;I_{n,3}= \int \sin^3x.\sin (nx)dx}$\\\\ $\mathbf{(2)\;\;I_{n,5}= \int \sin^5x.\sin (nx)dx}$\\\\ ...