Recently Active Algebra Questions

If z is a complex number such that arg( z-2/z+2 ),then the value of !z-2i!,(! . ! means modulus. ...

The value of C1+2C2cos@+3C3cos2@+4C4cos3@+.................................+nCncos[(n-1)@] ...

Q) f(x) = (x+1)(x+2)(x+3)(x+4)+5 , where x belongs to [-6,6]. If the range of d function is [a,b] , where a,b belongs to N. Find the value of a+b ? Q) f(x) = x^135+x^125 - x^115 +x^5 +1 r(x) = x^3 - x when f(x) / r(x) , then ...

If equation xn - nxn-1 + a2xn-2 + a3xn-3 + ......an-1x + (-1)n = 0 has n positive roots, then least value of n for which a2 + a3 is negative, is ? ...

In shooting competition a man can score 0,2,3,4 or 5 points.Find the number of ways he can score 30 points in 7 shots. ...

Let z be a complex number for which !2zcos@+z2!>1,if !z!<k,then the least positive integral value of k is ? ...

Quadratic equation x2+[a2-5a+b+4]x+b=0 has roots -5 and 1,then nuber of integral values a is:(where[.] denotes the greates integer function) ...

How do you prove that (sgn{x})sgn{x} is even, periodic and discontinuous? ...

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Q) A student attends an exam carrying four sets of question papers , each set carrying m questions with equal marks alloted. To qualify the exam, he needs to get 2m questions correct. In how many ways can he qualify the exam ...

The number of real solutions to the equation a=[ a/2 ]+[ a/3 ]+[ a/5 ] where [.] deonotes the greatest integer function is (A)30 (B)60 (C)45 (D)75 ...

The equation 22x+(a-1)2x+1+a=0 has roots of opposite signs then exhaustive set of values of 'a' is (A)a<0 (B)aE(-1,0) (C)aE(-∞,1/3) (D)aE(0,1/3) ...

what is the rms value of all the factors of 144??i tried but donno how two calculate the sum of factors taken 2 at a time!!!:( ...

Out of 21 tickets marked with numbers 1 to 21,three are drawn at random.Find the probability that the numbers are in A.P. Plz explain this prob also... ...

if there are 2n+1 terms in an AP then prove that the ratio of the sum of odd terms and the sum of even terms is n+1 : n dunno why, but i m not able to prove the result... ...

$Solve for $x$ in $2^x+2^{\frac{1}{x}}=4$. ...

Given 2 real numbers x and y such that 0 ≤ x,y ≤ 2,find the probability that x2 + y2 ≤ 1. ...

6 students line up daily in the morning for boarding a bus to school.Suppose that this process is not broken and the school works for 180 days in a year.After how much time the same arrangement can follow? ...

Using principle of mathematical induction, prove that n5/5 + n3/3 + 7n/15 is a natural number for all n belonging to N. ...

Whats the value of C02 - 2C12 + 3C22 - ....... (-1)^n(n+1)Cn2 stuck at this easy one I suppose............. ...

If a,b,c are in GP and x,y are the arithmetic means of a,b and b,c respectively,prove that 1) a/x + c/y = 2. 2) 1/x + 1/y = 2/b . ...

Q:=> Two numbers a,b are chosen from the set \left\{2,2^{2},......,2^{25} \right\} . Find the probability that log_{a}b is an INTEGER. Q:=> An instrument is being tested, upon each trial the instrument fails with probab ...

If A=[-sin@cos@ cos@ sin@],then prove that limn→∞ An/n is a null matrix. ...

How will you prove that ||An||=|A|n2 ...

five ticket x1, x2, x3, x4, x5 are drawn from fifty tickets numbered 1,2,3...,50 and arranged in ascending order x1<x2<x3<x4<x5. what is the probability that x3 = 30? ...

how to find the last digit of 7201 ...

SHARE: 1. Let N = 1111 ........ 11 {1998 times}, then find the 1001th digit after decimal for √N. DOUBT: 2. \textup{If } \frac{1}{1! 11!}+\frac{1}{3! 9!}+\frac{1}{5! 7!} = \frac{2^{n}}{m!} \textup{and } f\left(x+y \right) = ...

how many circular bracelets can be formed using 3 red beads and 6n blue beads! ...

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