Recently Active Algebra Questions

8 players compete in a tournament, everyone plays everyone else just once. The winner of a game gets 1, the looser get 0 or each gets if the game is drawn. The final result is that everyone gets a different score and the play ...

Q1. If the curves y=f(x) and y=g(x) intersect each other orthogonally at some point P, then at P (a) f and g may be increasing (b) f and g may be decreasing (c) f and g may have opposite monotonity (d) NOT Q2. A/R Statement 1 ...

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x = 2z2/1+z2 y = 2x2/1+x2 z = 2y2/1+y2 Find no. of real solutions to this sysytem of equations ...

1) Let a,b,c,d be 4 integers such that ad is odd, & bc is even. Then, ax3+ bx2+ cx +d=0 has- A) At least 1 Irrational root. B) All 3 Irrational roots. C) All 3 Integral roots. D) None of these. 2) Let f(x)= ax2 +bx +c, a,b,c ...

*Image* correct ans b Post the solution..... ...

le the rth term tr of a series is given by t_{r}=\frac{r}{1+r^{2}+r^{4}} then find the value of \lim_{n\rightarrow \infty }\sum_{r=1}^{n}{t}_{r} ...

. Let n be a positive integer and let a1, . . . , ak (k ≥ 2) be distinct integers in the set{1, . . . , n} such that n divides ai(ai+1−1) for i = 1, . . . , k−1. Prove that n does not divide ak( a1−1 ). ...

1..FIND THE MIN. VALUE of A+3C/A+2+C + 4B/A+B+2C - 8C/A+B+3C (A,B,C.ε R+) 2..IF A={zεC:Z=X+Xi-1 FOR X ε R } AND MOD(Z)≤MOD(ω) FOR ω ε A THEN Z IS ...

find all the roots of the x4+2x3+5x2+2x+1=0 ...

*Image* ans is b,c post the solution also......... ...

The 99th term of the series 2+7+14+23+34+....... is a)9999 b)9998 c)10000 d)none ...

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A recurrence satisfies a_{n+1} = a_n + \sqrt{a_n+a_{n+1}} a1 =1 Obtain an explicit formula for an i.e. find a function f(n) such that an = f(n) edited: first term provided now, sry. ...

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*Image* ans is a,c ...

*Image* ans c Plz post the soln..... ...

*Image* ans b post the solution ...

Number of soln.s of the equation \mid x^{2} - 1\mid = k^{2} + 4k + 1 is 4,then k may belong to A) (-4, - 3.8) B) (-4, - 3.7) C) [-3.9, - 3.8] D) (-4, - 2 - 3 ) ...

A letter is chosen at random from the word ' FAVOURABLE '. what is the probability that the chosen letter is a vowel ? ...

(x-4x^3)/x+6≥0 ...

A and B are two independent witnesses (i.e there is no collusion between them) in a case.The probability that A,B speaks truths are x and y respectively.A and B agree in a certain statement.Find the probability that the state ...

If a point P moves inside an equilateral triangle of side length 3 unit such that it is nearer to angle bisectors of the triangle than to any of its sides, then what is the area traced by P? ...

plz solve A(z1) , B(z2) and C(z3) are 3 points lying on the curve |z|= 3 1. If z2z1+ z2z + z3=0 has one root of modulus unity. z1,z2,z3are in: a)AP b)Gp c)HP D)all of the above 2.If z2z1+ z2z + z3=0 and z2z2+ z3z + z1=0 each ...

1)find the nth term of the sequence *Image* such that *Image* 2)Find the nth term of the sequence *Image* such that *Image* 3)Find the nth term of the sequence *Image* such that *Image* then Calculate *Image* 4)Find the n th ...

\mathfrak{Evaluate-} \boldsymbol{\sum_{i=1}^{100}{\binom{100}{i}}\left ( 2^{i-1} \right )\left ( 1+3^{100-i} \right )} ...

(1) No. of solution of the equation C(2n,n)=163 C(2n,n)=\frac{(2n)!}{n!*n!} ans= 0 ,1 2 , Infinity (2)No. of (+ve) Integral solution (x,y) of \frac{(6x)!}{(x!)^{6}}=y is eual to ans=0 ,1 , 2 , infinity ...

(1) If S=\sum_{k=1}^{80}{\frac{1}{\sqrt{k}}} Then \left[S \right]= where [ .] Greatest Integer function. ...

There are three sets of objects. One group contains n elements of one kind Other contains n elements of another kind Last grp contains n different elements All 3n elements are mixed together. Find the number of ways in which ...

(1) find all Integral value of x for which the expression x^{2}+7x+13 is a perfect square. i have got only one solution x= - 4 is there is any other Integral value of x which satisfy this expression? ...