Recently Active Algebra Questions

let p be a statement '' x is an irrational number '' q be a statement '' y is a trancedental number'' and r be the statement '' x is rational iff y is trancedental number assertion : r is equivalent to either p or q reason :r ...

a pile of n pebbles is placed in a vertical coloumn. this configuration is modified according to the following rules. a pebble can be moved if it is at the top of the coloumn which contains atleast 2 more pebbles than the col ...

normal to a curve at x,y meets y=0 at a point if the distance of this point from origin is double the x coordinate of point then curve is? ...

in expansion of 1/(1-ax)(1-bx) = a0 + a1x +... an then wat is an? ...

please give me as many alternative ways as possible the value of \sum_{k=1}^{10}{sin(2k\pi /11)+icos(2k\pi/11)} ...

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(12) + (12+22)+(12+22+32)+.......22 terms Find sum I got it but i want to know the easiest and most proper way. ...

x=2abcd .How many different values of x exist if a=2,b=3,c=4,d=5 (I have made up this question so it may get a bit long.....) ...

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i have heard from many that we have to study selectively from higher algebra-by hall n knight. plz tell me which chapters we have to read for jee+aieee+bits and which all can be left out ...

Q64) A five digit number divisible by 6 is to be formed using the numbers 0,1,2,3,4,5 without repetition. The total number of ways this can be done is a) 216 b) 120 c) 108 d) none of these ...

players1,2,3,........n are seated around a table, and each has a single penny. Player 1 passes a penny to player 2, who then passes two pennies to player 3. Player 3 then passes one penny to Player 4, who passes two pennies t ...

if x and y are positive integers such that the last digit of x2+xy+y2 is 0 , then prove that last 2 digits of x2+xy+y2 are 0 ...

25. How many real solutions does the equation x7 + 14x5 + 16x3 + 30x – 560 = 0 have? (1) 7 (2) 1 (3) 3 (4) 5 ...

if f(x) =1 + ax (a≠0) is the inverse of itself then what is the value of a? ...

What is the digit in the unit's place of 1!+ 2! + 3!+...... + 99! ...

Waht is unitary,nilpotent,orthogonal ,involuntary matrices Are these in course of AIEEE atleast ...

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If α,β are different complex nos. with \left|\beta \right|=1 then find \left|\frac{\beta -\alpha }{1-\bar{\alpha }\beta}\right| ...

A rail road numbers its locomotives in order 1,2,..,n. One day u see a locomotive adn its no. is 60. Guess how many locomotives the company has? ...

The coefficients a and b of an equation x2+ax+b = 0 and its roots c and d are four different numbers. Given a, b, c, d in some order, is it possible to determine which is a and which is b? ...

In a society of n people, any two persons who do not know each other have exactly two common acquaintances, and any two persons who know each other don’t have other common acquaintances. Prove that in this society every per ...

a letter is known to have come from either TATANAGAR or CALCUTTA on d envelope just 2 consecutive letters TA r visible d probability dat d letter has come from calcutta is? its soln is given in TMH but i dont understand can n ...

how to find the factor of a quartic equation?? ...

a(1/b +1/c),b(1/c +1/a),c(1/a + 1/b) are in AP, then prove a,b,c are in AP. ...

If a stick is broken into two pieces at random, wats the average ratio of smaller length to the larger? ...

If a,b,c are roots of x2-3x+p=0 and c,d are rooots of x2-12x+q=0 where a,b,c,d form a GP. Prove that q+p/q-p=17/15 ...

if z1=2-i,z1=1+i find magnitude of z1+z2+1/z1-z2+1 ...

In how many ways 12 different fruits can be distributed among 3 boys so each receives atleast one? just for confirmation.... ...

Q Prove the following x/y+z +y/x+z +z/x+y≥3/2 x,y,z are all >0 ...