Recently Active Algebra Questions

For some integer a, the equations 1988x2+ax+8891 = 0 and 8891x2+ax+1988 = 0 share a common root. Find a. i don't have answer.i am getting a=±10879.is it correct? ...

Ten people are to be sat around a circular table. (CIRCULAR NOT IN A ROW) The ten people consist of five men and five women. What is the probability that not two men and no two women are sat next to each other? ...

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what is the L.C.M of 2 and 3 ? ...

two squares are chosen at random from a chess board. what is the probability that the two squares share a common side?? please help me out. ...

$Q:$\Rightarrow$ Determine The range of the function\\\\ $f(x)=\frac{(x+a)^2}{(a-b).(a-c)}+\frac{(x+b)^2}{(b-c).(b-a)}+\frac{(x+c)^2}{(c-a).(c-b)}$\\\\ Where $a,b$ and $c$ are Different Real no. ...

1. There are n lines drawn in a plane such that no two of them are parallel and no three of them are concurrent. The number of different points at which these lines will cut is ? 2. Number of 6-digit telephone numbers, which ...

(1) Find value of \left[\frac{2010!}{2009!+2008!+2007!..............3!+2!+1!} \right] where \left[. \right] G.I.F ...

find the largest interval in which x lies satisfying x^{12}-x^{9}+x^{4}-x+1>0 ...

(1) If |z - 25 /z - 5| = 5 then find |z| = ...

1. If p, q, r be in H.P. and p and r be different having same sign, then the root of the equation px2 + 2q + r = 0 will be (A) Real (B) Equal (C) Imaginary (D) None of these 2. If the equation (k – 2) x2- – (k –- 4) x- – ...

my sir asked me to draw the graph of f((x+1)/3). I used this approach: f(x)→ f(x/3)→f((x+1)/3) a friend of mine used this f(x)→f(x+1) and then he changed the variable to x/3 with believe that this gives graph of f((x+1) ...

In a Class of 300 students, 60 students read all News-paper and a News-paper is read by 5 students. Then find total no. of News -paper. ...

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Q.1 If a, b,c and u ,v ,w are the complex numbers representing the vertices of two triangles such that c= (1- r) a +rb and w =(1-r)u +rv, where r is a complex number, then the two triangles (a) same area (b) are similar (c) a ...

if, a2 + b2 + c2 = ab + bc + ac then find the relation between a,b and c for real values of a,b and c. sitter question no doubt... ...

$\textbf{Find no. of integral values of $\mathbf{a}$ such that\\\\ $\mathbf{\sqrt{9-a^2+2ax-x^2}>\sqrt{16-x^2}$}}$\\\\ $\textbf{for atleast one positive Real value of $\mathbf{x}$}.$ ...

If w ( ≠1) is cube root of unity satisfying 1/a+w + 1/b+w + 1/c+w = 2w2 and ,1/a+w2 + 1/b+w2 + 1/c+w2 = 2w then the value of 1/a+1 + 1/b+1 + 1/c+1 is ? ans 2 ...

If a, b are roots of cos2x + acocx + b=0 as well as of sin2x + psinx + q, then a, b, p, q satisfy the relation 1)1 + b + a2 = p2 - q - 1 2)a2 + b2 = p2 + q2 3)b + q = a2 + p2 - 2 answer given is 3 ...

$\textbf{Calculate value of $\mathbf{m}$ for which the equation }$\\\\ \mathbf{\sqrt{x+1-2\sqrt{x}}+\sqrt{x+9-6\sqrt{x}}=m.}$ \textbf{has 2 Distinct Solution.} ...

'theorem on weighted means' is in iit jee syllabus ? If yes , where can i get some good problems to master that topic.....?? ...

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1. Find the total number of terms in the expansion of (x + y + z + w)n , n ∈ N. 2. Find numerically greatest term in the expansion of (2 + 3x)9, when x = 3/2 ...

1. Sum of the series : 1 + 3x + 5x2 + 7x3 + ......... 2. Sum the series : 1.2.3 + 2.3.4 + 3.4.5. + ......... + to n terms. 3. Sum the series : 12 + (12 + 22) + (12 + 22 + 32) + ........ to n terms. ...

$\textbf{If $\mathbf{x=\left(\frac{\sqrt{\sqrt{2}+\frac{1}{8}}}{2}-\frac{\sqrt{2}}{8}\right)}$. Then Calculate value of $\mathbf{A=x^2+\sqrt{x^2+x+1}}$} ...

1. If α,β are the roots of x2+px+q=0 then express α5+β5 in terms of p and q. 2. \left|\left|x-1 \right|-x \right| \leq 4 ...

$\textbf{Find all Matrices $\mathbf{A}$ of order $\mathbf{2\times 2}$ that satisfies the equation}\\\\ \textbf{(i)}::$\mathbf{A^2=A}$\\\\ \textbf{(ii)}::$\mathbf{A^3=A}$\\\\ These are two different Questions. ...

\textbf{Solve system of equations }\textbf{\begin{cases} x^4+y^4+6x^2y^2=8 \\ x^3+3xy^2=x^2+y^2+2 \end{cases}} ...

In a certain test, there are n questions, In this test 2n-i students give wrong answers to atleast i questions (1 ≤ i ≤ n). If the total number of wrong answers given is 2047, find the value of n. ...