Recently Active Algebra Questions

wat is the way to find out the rank of a word using permutation nd combination like the rank of word "mahatma" ,is there any other way to find rank of a word???? ...

There is a l cross b rectangle divided into unit squares.Through how many unit squares does the diagonal of the rectangle pass? ...

Ques) Prove that the series ab + (a+x)(b+x) + (a+2x) (b+2x)+ ........+2n terms. The excess of sum of last n terms over the sum of first n terms is to the excess of the last term over the first as n2 to 2n-1. ...

prove that the minimum value of (a+x)(b+x)/(c+x) , x>-c is ( a-c + b-c )^2 ...

1) The value of x+y+z=15, if a,x,y,z,b are in A.P while the vlue of 1/x + 1/y + 1/z =5/3 if a,x,y,z,b are in H.P. , Find a and b. 2) If the (m+!)th,(n+1)th and (r+1)th terms of an A.P are in G.P. and m,n,r are in H.P. Then sh ...

Let N=2+22+222+...............upto 30000 terms Then find last four digits of N ...

Ques1) Find the sum of the series 1/9 + 1/18 + 1/30 + 1/45 + 1/63 + ..... (a) 1/3 (b) 1/4 (c) 1/5 (d) 2/3 Ques2) There exisits positive integers A, B and C with no common factors greater than 1, such that A log200 5 +B log200 ...

Q. Let f be a function from the set of positive integers to the set of real numbers i.e. f:N→R, such that, (i) f(1)=1 (ii) f(1)+2f(2)+3f(3)+...+nf(n)=n(n+1)f(n) for n≥2, then the value of 1/f(1004) is _________ ...

if z= x+iy then ans the following questions,z is the conjugate of z 1.what will be argument of (z+z/2) 2. what will be the aurgument of (z - z/2) ...

Positive real numbers are arranged in the form: 1 3 6 10 15 ... 2 5 9 14 ... 4 8 13 ... 7 12 ... 11 ... Find the number of the line and column where the number 2002 stays. EDITED: THANKS MRUNAL. ...

TEST THE CONVERGENCE OF THE SERIES ..... show stepwise : *Image* ...

A train running from station A to station B,has 11 stations in,between as halts.Nine persons enter the train during the journey with nine different tickets of the same class. I)The total no of different sort of available tick ...

By mistake it was in article :P What is the remainder when (32008+72008+2008) is divided by 29 He knows the answer but want the solution... ...

Q.1) If A and B represent complex number z1 and z2 in the argand plane,then how r the slope and complex slope of AB is defined ? To find the line perpendicular to a line: az' + a'z + b = 0, is the slope or the complex slope c ...

Find maximum value of 1/b+c +b/c+a +c/a+b for a,b,c≥0 ...

Suppose tr=12+22+........+r2 let t1+t2+........+tn=1/12 n(n+1)(n+2)k Find value of k , ...

Let an=1111..............11 n times The remainder when a124 is divided by 271 is ?? ...

Q1 Let an=∫(1-cos2nx)/1-cos2x ,then a1,a2,a3 ...are in where limits of integration are 0 to π/2 Q2 Let an=∫sin2nx/sinx dx for all n≥0 and bn=an-an-1 for all n≥1.The sequence b1,b2,b3.. is in ??? where limits of integ ...

Ques1) The first term of an A.P of conseutive integers is P2 +1. Show that the sum of (2P+1) terms of this series can be expressed as { P3 + (P+1) 3 } . Ques2) Show that the number of numbers lying between 100 and 500 are div ...

In which type of questions, is it more useful to take a-3d, a-d, a+d, a+3d over a, a+d, a+2, a+3d same with a-d, a, a+d over a, a+d, a+2d same with a/r, a, ar or a/r3, a/r, ar, ar3 Not a thing that is out of the world but I t ...

if x is real then prove that the expression (x2-2xcos2θ+1)/(x2-2xcos2φ+1) lies btween sin2θ/sin2φ and cos2θ/cos2φ. ...

Ques1) Let a,b,c are respectively the sum of the first n terms, the next n terms, and the next n terms of a G.P. Show that a,b,c are in G.P. Ques2) Show that the sum of square of three consecutive odd no's increase by 1 is di ...

Here are a few good probs.Pls solve them. 1)What is the solution of the inequality |x+3|>|2x-1| 2)Find the solution of |x2+3x|+x2-2 ≥ 0 3)Find the solution of 2x+2|x| ≥ 2√2 ...

Define a "valid n-bit binary word" as a n digit long sequence of 0's or 1's in which no two or more consecutive 1's are present. For example, for n = 3, we see that of all the 3-bit binary words possible: 000, 001, 010, 011, ...

pls solve 1)Σtan2(rΠ/16)=S and r varies from 1 to 7 wat is S? 2)let f(x+y)=f(x)2+f(y) for all x,y belongs R then find f(x) 3)If two distinct circles x2+y2-2ax+c=0 and x2+y2-2bx+c=0 and a2>c b2>c>0 cut equal interce ...

If T_n = \frac{4^n n^2}{(n+1)(n+2)} Find Sn where S_n = \sum_{i=1}^n T_n ...

while solving an inequality, i got the interval of x as [-6,6] but there was another option as [-1,1] and the question was of one or more correct ans. type.should I mark both these options? ...

Show that (6!)5! is a divisor of (6!)!. ...

Prove that the roots of the equation (a4+b4)x2+4abcdx+(c4+d4)=0 cannot be different if real. ...

Ques1) If one Geometric mean G and two arithmetic means p & q are inserted between two quantities, then show that G2 = (2p-q)(2q-p) Ques2) Let a,b,c are respectively the sum of the first n terms, the next n terms, and the nex ...