Recently Active Algebra Questions

What is the no. of ways to seat 4 boys and 3 girls around a circular table ? ...

how many zeroes are there in 500!....???gud Q try it?? ...

Great question --- though not difficult --- If the polynomial xn + p1 xn-1 + p2 xn-2 + p3 xn-3 + ...... + pn-1 x + pn = 0 , has n real roots a , b ,c , d ... k , and p1 , p2 , p3 are all real , then find the value of , ( 1 - ...

*Image* edit: (III) is balls differnt, boxes identical Q2. There are 6 elements in a set A and 3 elements in a set B. Total no. of onto functions from set A to set B if a particular element of A is always associated with a pa ...

Doubts... 1) If the equation x4 -(3m+2)x2 +m2=0 (m>0), has 4 real solutions which are in A.P., find the value of "m". 2) Let P(x) be a Polynomial of degree 4 such tht - P(1)=P(3)=P(5)=P'(7) =0. If the real number x (≠1,3 ...

there are 13 couples... the men can shake hands with everyone except their wives and the women can shake hands with the men only......find the total number of handshakes..... ...

If the eqn [ log12 (log8 (log4x)) ] / [log5(log4(logy(log2x))))] = 0 has a solution for 'x' when c<y<b , y≠a , where 'b' is as large as possible & 'c' is as smal as possible , then the value of (a+b+c) = (A)18 (B)19 ( ...

Ques) In a certain test, there are n questions. In this test, 2 n- i students gave wrong answers to atleast i questions, where i = 1,2,3,4,......, n. If the total no. of wrong answers given is 2047, then find the value of n. ...

Just came across a beautiful question..... If a1, a2, a3, a4 are in HP then 1/a1a4 \sum_{r=1}^{3}{} ar ar+1 is a root of : A) x2 + 2x + 15 = 0 B) x2 + 2x - 15 = 0 C) x2 - 2x + 15 = 0 D) x2 - 2x - 15 = 0 ...

Let P(x)= x6+ ax5+ bx4+ cx3+ dx2+ ex+ f be a polynomial such tht - P(1)=1, P(2)=2, P(3)=3, P(4)=4, P(5)=5 & P(6)=6. We need to find the value of P(7). [A Hint wud do perhaps.] [22] ...

Let X= {1,2,...,100} & Y be a subset of X such thatv the sum of no two elements in Y is divisible by 7.If the max possible no of elements in Y is 40 + λ then λ is ---------?? ...

If the eqn 2x2 +4xy + 7y2 - 12x - 2y + t = 0 where 't' is a parameter has exactly one real solution of the form (x,y) . Then the sum of (x+y) is equal to (A) 3 (B) 5 (C) - 5 (D) -3 ...

How many distinct necklaces can be formed using n identical diamonds and k identical pearls? ...

(1) Find all Integer a for which The equation x^{3}-13x+a=0 has three Integer Roots. ...

For all complex numbers z1 and z2 satisfying mod(z1)=12 and mod(z2-3-4i)=5 , find the minimum value of mod(z1-z2) . ...

S = { [x],sin-1x , l x l , {x} } A,B,C are subsets of S A ---> consists of odd functions B ----> consists of discontinuous functions C ----> consists of non decreasing/ increasing functions l (x) ε neither A nor B n ...

MATCHING (A)Let f : [-1,∞) ---> (0,∞) defined by f(x) = ex2+l x l , then f(x) is (B)Let f: (1,∞)---> [3,∞) defined by f(x) = 10 - 2x + x2 then f(x) is (C) Let f: R--->I defined by f(x) = tan5∩ [ x2 +2x+3 ] ...

if z1 z2 z3 r complex nos such that \left|z_{1} \right|=\left|z_{2} \right|=\left|z_{3} \right|=1 then find the max value of \left|z_{1}-z_{2} \right|^{2}+\left|z_{2}-z_{3} \right|^{2}+\left|z_{3}-z_{1} \right|^{2} ...

If a and b are +ve integers.......find the probabilty that \frac{1}{2}(a^{2}+b^{2}) is a +ve integer ...

tanA,tanB,tanc are the roots of the eqn. x3-k2x2-px+2k+1=0,then triangle abc will be a triangle of what nature?explain the ans? ...

how many necklace can be using 8 stones 2- red 3-blue 3-black ...

x=\sum_{n=3}^{100}{\frac{1}{n^2 -4 }} \\ \color{red}then \ find \ [x] my answer is coming out to be -3 ...

The quadratic polynomial has the following properties : p(x) ≥ 0 for all real no.s , p(!) = 0 & p(2) = 2.Find the value of p(0) + p(3) Ans : 10 (I wan't solution) ...

(1) The maximum value of (\sqrt{-3+4x-x^{2}}+4)^{2}+(x-5)^{2} (where 1\leq x\leq 3 ) (Not by using Trigonometry). ans = 36 ...

Let p be the product of the non real roots of the eqn x4 - 4x3 + 6x2 - 4x = 2008 where [*] denotes the greatest integer function , then find [P] ...

Multiple Ans QS A parabola of the form y = ax2 + bx + c with a>0 intersects the graph of f(x) = 1/(x2 - 4) No of possible distinct intersections of these graph is (A) 0 (B) 2 (C) 3 (D)4 ...

The values of x for which the equation , 2 sin-1(sin x/2) = x is valid? (A) for all x (B) -1≤x≤1 (C) -∩≤x≤∩ (D) -∩/4≤x≤∩/4 ...

some of my friends are confused with percom so i want all here help them out with theory and problems alike......some are starting now...can nishant bhaiya help??? ...

Nine hundred distinct N-digits numbers are to be formed by using 6,8,and 9 only.The smallest value of N for which this is possible is a) 6 b)7 c)8 d)9 ...

If x = z√(1 - y2) + y√(1 - z2), find the minimum value of (x + y + z)(x - y + z)(x + y - z)(-x + y + z). ...