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Why is the value of log-3-27 ≠3? Because... log-3-27 = log-3(-3 * 9)=log-3-3 + log-39 = 1 + 2 = 3 ...
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A TRIANGLE ABC HAS AN ANGLE 60 DEGREE.AB=b & BC=C. FIND THE AREA OF THE TRIANGLE. ...
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\hspace{-16}\mathbb{I}$f $\bf{n=\frac{1}{\frac{1}{1980}+\frac{1}{1981}+........+\frac{1}{2012}}}$. Then $\bf{\lfloor n \rfloor}$ is \\\\\\ Where $\bf{\lfloor x \rfloor = }$Floor Sum. ...
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Show that infinete series Σ sin( 1/k ) is div? ...
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*Image* ...
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\hspace{-16}$Prove that for all Natural no. $\bf{k}$\\\\ $\bf{(k^3)!}$ is Divisible by $\bf{(k!)^{1+k+k^2}}$ any method other then Induction ...
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If you have any question to ask, please ask here. ...
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Let S={1,2,3,..........n}.If x denotes the set of all subsets of S containing exactly two elements having 1 as least element,then what is the cardinality of X? ...
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\hspace{-16}$Find all Positive Integer Triplet $\bf{(x,y,z)}$ that satisfy\\\\ $\bf{x!+y!=15\times 2^{z!}}$ ...
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\hspace{-16}\mathbb{I}$f $\bf{x_{i}\; \big(i=1,2,3,.....,48\big)}$ are the Roots of the equation $\bf{\mathbb{P}(x)=18x^4+3x+2006}$\\\\ Then Find value of $\bf{\sum_{i=1}^{48}\frac{x_{i}}{1+x_{i}}=}$ ...
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\hspace{-16}\bf{\mathbb{I}}$f $\bf{a\in \mathbb{Z}}$. Then Find all Integer Roots of the equation \\\\ $\bf{x^3+ax-13x+42=0}$ ...
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if any nucleophille is given how can we say that it is weak or strong nucleophille? ...
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Guys, how much are you scoring in IITJEE 2012 ? (the marks are available in respective iitjee websites from 5th May to 10th May 2012, check urs and post here ur marks ) ...
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If a and b are two vectors then the value of (a+b)x(a-b) is (a)2(bxa) (b)-2(bxa) (c)bxa (d)axb ...
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Guys, how much are you scoring in IITJEE 2012 ? (the marks are available in respective iitjee websites from 5th May to 10th May 2012, check urs and post here ur marks ) ...
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Let S={1,2,3,..........n}.If x denotes the set of all subsets of S containing exactly two elements having 1 as least element,then what is the cardinality of X? ...
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Given: f(x) =ax2+bx+c g(x)= px2+qx+r such that f(1)=g(1), f(2)=g(2) and f(3)-g(3) = 2 . Find f(4)-g(4). The q is easy but i want a shorter method... ...
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Given: f(x) =ax2+bx+c g(x)= px2+qx+r such that f(1)=g(1), f(2)=g(2) and f(3)-g(3) = 2 . Find f(4)-g(4). The q is easy but i want a shorter method... ...
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if any nucleophille is given how can we say that it is weak or strong nucleophille? ...
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If a and b are two vectors then the value of (a+b)x(a-b) is (a)2(bxa) (b)-2(bxa) (c)bxa (d)axb ...
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*Image* (I) is weaker base than (II)... Explain..!! ...
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Consider a n*n chessboard. A person moves along the lines of the chessboard such that the sum in the y axis is greater than or equal to the sum in the x axis. Find the number of ways of going from one corner to the other corn ...
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the eqn 8x^2 -14xy +3y^2 +10x +10y -25=0 represents adjacent sides of a ||ogram whose diagonals intersect at the points(3,2)...find the eqn of other 2 sides ,.... ...
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G.C.D of (m,n)=1 1) x ≡3 (mod n) x ≡2 (mod m) Find x. Got it from a frnd. ...
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Let x,y,z be positive real numbers, satisfying the following inequality : (x+y+z)(\frac{1}{x}+ \frac{1}{y}+ \frac{1}{z}) < 10 Prove that x,y,z form sides of a triangle. If you know this , please don't post within a day. :) ...
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G.C.D of (m,n)=1 1) x ≡3 (mod n) x ≡2 (mod m) Find x. Got it from a frnd. ...
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G.C.D of (m,n)=1 1) x ≡3 (mod n) x ≡2 (mod m) Find x. Got it from a frnd. ...
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Determine the largest number in the infinite sequence 1^1/1 , 2^1/2 , 3^1/3 , 4^1/4 , ............ n^1/n ...
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1,Prove for positive a,b,c (b≠1) , alogbc = clogba 2,In a small sweet shop people usually buy either one cake or one box of chocolate ,One day the shop sold 57 cakes and 36 boxes of chocolate,How many customers were there t ...
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Find the value of \sqrt{7+\sqrt{7-\sqrt{7+\sqrt{7-....\propto }}}} ? my method... let \sqrt{7+\sqrt{7-\sqrt{7+\sqrt{7-....\propto }}}} =x and {\sqrt{7-\sqrt{7+\sqrt{7-....\propto }}}} =y now, x2=7+y and y2=7-x subtracting the ...
