Recently Active Algebra Questions

how to do this q using congruences find the remainder wen 32n+2-8n-9 is divided by 64? i know the procedure by binomial ...

d arithmetic mean of d roots of d equatio n 4Cos3x -4Cos2x -Cos[315pie+x]=1 ...

Plz help me in these questions..............(FIITJEE Package) 1. Prob of A wining a game is 0.4 while that of B is 0.6 . What is the probability of A wining a best of 7 games? 2. If Ram and Shyam selects two numbers at ra ...

1) Find the no. of rational roots of- P(x) = 2x98 + 3x97 + 2x96 + 3x95 +....+2x+3 =0 (Hence, find the roots too.) 2) Least degree of a polynomial with integral coeff. of which a= 31/2007 is a zero is- a)223, b)669, c)2007, d) ...

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Let a,b,c be three distinct positive numbers which are in G.P. If logca , logbc , logab are in A.P., then the common difference of the A.P. is.... REPLY SOON..... ...

5/1.2.3 +7/3.4.5 +9/5.6.7 .......... is equal to: a) log 8/e b)log e/8 c) log mn d) none of these ...

Q.1 In how many ways can clean & clouded (overcast) days occur in a week assuming that an entire day is either clean or clouded. Q.2 Four visitors A , B , C & D arrive at a town which has 5 hotels . In how many ways can they ...

The equation x + frac{2}{{1 - x}} = 1 + frac{2}{{1 - x}}, has a) No real root b) One real root c) Two equal roots d) Infinitely many roots ...

Prove that n*(n+1)*(2n+1) is divisible by 6, for any n>0 ...

If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, prove that arg(z1/z4) + arg(z2/z3) = 0. ...

If m men and n women are to be seated in a row such that no two women seat together,then find the ways in this can be done. ...

12+14+24+58+164+........+n=????? The answer is 3n-n2+11n-1 Please someone show me the way to solve it. ...

The ratio of A.M. (arithmetic mean) and G.M. (geometric mean) of two positive number a and b is m:n. Prove that a:b = (m2 + m2 - n2 ):(m2 - m2 - n2 ...

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Find the square root of ((0.75)^3/1-(0.75)) + (0.75 + (0.75)^2 + 1). My problem is that I am getting an answer 2.5 which is NOT one of the options provided. ...

\sqrt{x+\sqrt{x+\sqrt{x+}..}}=y \sqrt{y+\sqrt{y+\sqrt{y+}..}}=5 find √(x+y) ...

Please post a brief soln to the problem 1) The no. of right triangles with integer sides and inradius r=2013 2)Let a,b,c,d be non zero digits. If n is the no. of 4 digit no.s abcd such that ab+cd is even, then last digit of n ...

If x2-x+1=0 and the two roots of the equation are α and β;then find the value of α2013+β2013. ...

\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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if a x x x x b x x = f(x)-xf/(x). x x c x x x x d then f(x)=? ...

If a) x1 + x2 + ...................+x1007 =(2014)2 b) x1 /(x1 +1)=x2 /(x2 +3)=.....................=x1007 /(x1007 +2013) then x253 =? ...

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Find the numebr of solutions of the equation- 8[x2 - x] + 4[x]=13+12[sinx],where [.]denotes the G.I.F. ...

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If f(x1) + f(x2) = f{(x1+x2)/(1+x1x2)} , find f(x). ...

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