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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 ...

In the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative. c- ac- aa – aa – bc – bcc cabba ccbbb bbbbb cbacb ...

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.....?? ...

$\textbf{No. of Real roots of the equation $\mathbf{|sin\;x|+sin\;|x|=2-\frac{x^2}{8}}$}$ ...

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The equation ∏/2∫x sin2y. dy= 0 has: A) NO SOLUTION B) ONE SOLUTION C) TWO SOLUTIONS D) THREE SOLUTIONS ...

a region in space contains charge which is distributed spherically such that the volume charge density p. p=a for r≤R/2 p=2a(1-r/R) for R/2≤r≤R p=0 for r≥R find the value of a in terms Q and R,where Q is the total cha ...

A four-digit number has the following properties: (a) It is a perfect square; (b) Its first two digits are equal (c) Its last two digits are equal. Find all such four-digit numbers. (RMO '91) ...

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 ...

How many attempts are allowed at aieee.Like suppose someone who wrote aieee in 2011 on a drop year basis!(that is aieee 2011 was hi SECOND ATTEMPT)Are any more attempts left for him/her? ...

From a conduction ring of radius R which carries a charge Q (uniformly distributed) along its periphery a small length dl is cut off. The electric field at the center due to the remaining part is ? ...

Solve the equation y3= x3 + 8x2 - 6x + 8 for positive integers. I have a method which is not very good. ...

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. ...

On a chessboard, the positive real numbers are entered into the squares in such a way that every number is the arithmetic mean of its neighboring squares . Is this possible? If possible then prove it. ...

$\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. ...

what may b the iitjee cutoff ? ...

I had created a test but it is not there when I see it. I have problems in saving the test ...

The equation A2/(x-a) + B2/(x-b) + C2/(x-c) + ..... + H2/(x-h) = k has 1) No real root 2) At most one real root 3) No complex root 4) At most two complex roots ...

$\textbf{If $\mathbf{\sqrt{9-8.sin\;50}=a+b.cosec\;50}$, Where $\mathbf{a,b\in\mathbb{Z}}$.Then find $\mathbf{ab=}$$} ...

If one root of ax^2+bx-2c=0 (a,b,c are real) is imaginary and 8a+2b>c , then a) a>0 and c<0 b)a>0 and c>0 c)a<0,c>0 d)a<0,c<0 ...

A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of 12m/s2. The displacement of the block during the first 0.2 s after the start assuming g = 10 m/s2 is (a) 4 cm (b) 20 ...

A cubical box of side 2.0 m contains helium gas (M0= 4.0) at a pressure of 100N/m2 and temperature T K. During an observation time of 1s, an atom travelling with the root mean square speed parallel to one of the edges of cube ...

One Kg of copper is drawn into a wire of 1mm diameter and a wire of 2 mm diameter. The resistance of the two wires will be in the ratio ...

1/(1*4) +1/(4*7)+1/(7*10)+......................∞=? ...