Recently Active Algebra Questions

GIVEN a,b,c,d ≥ 0 such tha abcd=1 , prove that \frac {1}{(1+a)^2}+\frac {1}{(1+b)^2}+\frac {1}{(1+c)^2}+\frac {1}{(1+d)^2}\geq 1 ...

(1+x)10 = a0 + a1 x +a2 x2 + ..... + a10 x10 then, (a0 - a2 + a4 - a6 + a8 - a10)2 + (a1 - a3 + a5 - a7 + a9)2 is equal to : ?? ...

What is condition that circles z\bar{z}+\bar{a_{1}}z+a_{1}\bar{z}+b_{1}=0 and z\bar{z}+\bar{a_{2}}z+a_{2}\bar{z}+b_{2}=0 where b_{1},b_{2} \epsilon R intersect orthogonaly??? ...

A: If z is a complex no. (z≠1) then \left|\frac{z}{\left|z \right|}-1 \right|\leq \left|argz \right| R:In a unit circle chord AP≤ arc(AP) ...

A:If x2+x+1=0,then value of (x+\frac{1}{x})^{2}+(x^{2}+\frac{1}{x^{2}})^{2}+......+(x^{21}+\frac{1}{x^{21}})^{2} is 42 R:ω,ω2 are roots given by equation x+\frac{1}{x}=-1,x^{3}+\frac{1}{x^{3}}=2 ...

Pls post solution of test which you posted (T-276). plzzzzzzzzzzzzz. :) ...

given: f(x) + f(1/x)=f(x)*f(1/x); f(4)=17; question:find f(7)? ...

plz ans bataoo........mera 3 aa raha hai...... Let α,β,γ are roots of ax3+bx2+cx+d=0 then \sum{(\frac{\alpha +1}{\alpha -1})(\frac{\beta +1}{\beta -1})}=? ...

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Let A be any set of 20 distinct integers chosen from the arithmetic progression 1,4,7,..............,100. Prove that there must be two distinct integers in A whoe sum is 104 . ...

|Z|2 = Z + Z - 1 FIND THE LOCUS OF "Z" ANS given : point!!! SORRY!!! ho gaya thread open hote hi closed!! ...

x,y,z real show that mod(x)+mod(y)+mod(z) ≤ mod(x+y-z) + mod(y+z-x) + mod(z+x-y) ...

This is the famous Tower of Brahma (Tower of Hanoi) problem where it is believed that when this whole thing is completed by priests the world will come to an end. Arrangement: Threre 3 Rods. One containing N discs. In descend ...

If X and Y are 2 complex numbers such that lXl ≤1 and lYl ≤1 and lX+iYl=lX-iYl=2. Q1. Which of the following is true about lXl and lYl ? (a) lXl=lYl=1/2 (b) lXl=1/2 and lYl=3/4 (c) lXl=lYl=3/4 (d) lXl=lYl=1 Q2. Which of t ...

Let f(x) = x3+3x2+6x+2010 and g(x)=1/(x-f(1)) + 2/(x-f(2)) + 3/(x-f(3)). Then number of real solutions of g(x) = 0 is (a) 1 (b) 2 (c) 0 (d) infinite sry its 3x2 ...

Read the question.... Game show host asked contestants to select one of three closed doors. Behind exactly one of the doors was a valuable prize. After the contestant had selected a door but before it had been opened, host. w ...

if in a AP suthe sum of m terms is equal to sum of next n terms is equal to sum of next p terms... then prove that m+n *( 1 / m - 1 / p) *Image* ...

A bag contains unlimited number of white, red, black and blue balls. The number of ways of selecting 10 balls so that there is atleast one ball of each colour is...... ...

The numbers of solutions of x1 + x2 + x3 = 51 (x1, x2, x3 being odd natural numbers) is....... ...

find no. of ways in which 4 letters can be put into 4 envelopes such dat nothin occupies its original place.............. ...

A square is filled with 100 small lamps, arranged in 10 rows and 10 columns. Some of them are on, the others are off. Each lamp has a push-button that, when pressed, switches all the lamps in its row and column (including the ...

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The Monty Hall problem Game show host Monty Hall ("Let's Make a Deal") asked winning contestants to select one of three closed doors. Behind exactly one of the doors was a valuable prize. Occasionally, after the contestant ha ...

A number is seelceted randomly from 3 digit nos. 100,101...........999 .The prob that in the selected no. at least one of the digits is 9 is?? ...

in constructing a problem on vectors,3 componts of vector are randomly chosen from digits 1 to 5 with replacements.What is prob that magnitude of vector is 5?? ...

prob that length of a randomly chosen chord of circle lies b/w 1/2 and 3/4 of its diameter???? ...

if S=summation (1/r) and the limits is from 1 to 2047 then find the range of S the option were 5<S<6; S>6; 11<S<12; and S<11; please give ur soln ...

In an examination of 6 papaers each of 100 marks as max. marks PT the no. of ways in which a candidate can secure 40% marks in whole examination is *Image* ...

Let a be a complex number, ia3+a2-a+i = 0 then find maximum value of |a-3-4i| ...

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