Recently Active Algebra Questions

1>how many odered pairs of (m,n) of positive integer are solution to 4/m + 2/n = 1 ? 2>prove that if a +b + c =0 then a3+b3+c3 = 3abc ...

today i encountered a problem in which we have three redunant constraints[x>0 ,y> 0 and one more] but in answer they gave only the last one......so does it mean tht x>0 n y>0 are UNIVERSALLY NON_REDUNANT CONSTRAIN ...

sorry! ...

For any complex number z, the minimum value of | z | + | z – 1 | is (A) 0 (B) 1 (C) 2 (D) –1 ...

The co-ordinates of the foot of the perpendicular from (0, 0) upon the line x + y = 2 are (A) (2, –1) (B) (–2, 1) (C) (1, 1) (D) (1, 2) ...

If A is a square matrix then, (A) A + AT is symmetric (B) AAT is skew - symmetric (C) AT + A is skew-symmetric(D) ATA is skew symmetric ...

SHOW THAT a12- b12 IS DIVISIBLE BY 91 ,IF a AND b ARE BOTH PRIME TO 91 ...

Find the values of ‘a’ for which the expression x2 – (3a – 1)x + 2a2 + 2a – 11 is always positve. ...

Find the sum of the first n terms of the series 0.2 + 0.22 + 0.222 + .......... ...

A and B are two independent events such that P(A∪B') = 0.8 and P(A) = 0.3. The P(B) is ...

evaluate 1) \sum_{n=1}^{\infty }\frac{1}{n^3(n+1)^3} 2) \sum_{n=1}^{\infty }\frac{1}{n^2(n+1)^2} ...

evaluate- \sqrt{2011+2007\sqrt{2012+2008\sqrt{2013+2009\sqrt{2014+.........\infty}}}} ...

post different methods to find if 22051946 is a perfect square . at least 5 shorter methods ...

(1) find value of x in | | | |x| - 2| - 2|- 2| = | | | |x| - 3| - 3|- 3| where | x | denote Modulus function. (2) find real solution of the equation [x]*{x} = x. { } = fractional part function. [ ] = Integer part function. ...

x=1+a+a2+a3+...to infinity.(|a|<1) y=1+b+b2+...to infinity.(|b|<1) Prove that 1+ab+a2b2+a3b3+...to infinity=xy/x+y-1 ...

how to find the sum of the series- (1)x2+x4+x6+....+x2n (2)1/x2+1/x4+...1/x2n. Please tell in a proper stepwise manner. ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

Prove that the sum of the homogeneous products of n dimensions which can be formed of the letters a,b,c and their power is *Image* ...

1.FIND \left(1+\frac{1}{3} \right)\left(1+\frac{1}{3^{2}} \right)\left(1+\frac{1}{3^{3}} \right)..... 2.COEFFICIENT OF x98 in \left(x-1 \right)\left(x-2 \right)\left(x-3 \right)......\left(x-100 \right) 3.THE SERIES OF NATURA ...

some questions for bitsat practice Q-1 \texttt{let x,y be selected from SET}\left\{1,2,3\cdots15 \right\}\\ what is the probaility that x^2-y^2 is divisible by 5 Q-2 find \sum_{1}^{16}{\frac{n^4}{4n^2-1}} ...

find sum of max. and min. value of sin-1(2x) +cos-1(2x)+sex-1(2x) ...

A person writes letters to 4 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that : (i) atleast two of them are in the wrong envelopes (ii) all the letters are ...

The direction cosines of a variable line in two near-by positions are l, m, n; l+\delta l, m+\delta m, n+\delta n Show that small angle \delta \theta between the two position is given by (\delta \theta )^{2}=(\delta l)^{2}+(\ ...

give the *Image* ...

find the sum 2/1! + 12/2! + 28/3! + 50/4! + 78/5! ............................ ...

THESE ARE VERY SIMILAR TO ORIGINAL BITSAT STANDARD [ I'm serious ] I HAVE ADDED 2 MORE QUESTIONS... Here are Some questions taken DIRECTLY FROM MTG-2010 BITSAT EXPLORER , please try to give the steps for these questions : 1.I ...

MAX VALUE OF x2y3 when 3x + 4y =1 is ...

IF f(x)=cos[pi2]x + cos[-pi2]x,where [.] is the gif ,yhen value of f(pi) will b? what i have recognised about this qyestion is that this belongs to pi2-(9,10). ...

How many perfect squares are there in the sequence ... 4, 44,444, 4444 ,............ ...

find the summation till infinity of : *Image* ...