Recently Active Algebra Questions

"Give two different numbers, each of which is the square of the other." and i dont want o and 1 as the answer ...

An AP and a GP have the same first and last terms as well as the same number of terms. Is the sum of terms greater for the AP or GP? ...

If 0 <x < π/2, then the Minimum Value of.... \frac{cos^{3}x}{sin \ x} + \frac{sin^{3}x}{cos \ x} is ... a) √3 b) 1/2 c) 1/3 d) 1 ...

[x] + [x+1/n] +[x+ 2/n] +........[x+ (n-1)/n]=[nx] is true a)for any real no x b)for any integer x c){x} is multiple of 1/n d)for no n. ...

If C0, C1, C2, ........., Cn are the binomial coefficients, then 2 C 1 + 2 3 C 3 + 2 5 C 5 +............... equals (a) 3 n + (-1) n/2 (b) 3n - (-1) n/2 (c) 3 n +1/2 (d) 3 n -1/2 ...

ai>0;i=1,2,3,4.........n (n-1)s=a1+a2+a3+a4+..............an prove that a1.a2a3..........an>= (n-1)n(s-a1).(s-a2).(s-a3)(s-a4).........(s-an) ...

If the roots of ax2 + 2bx + c = 0 be possible and different then the roots of (a+c)(ax2+2bx+c) = 2(ac-b2)(x2+1) will be impossible and vice-versa.............prove it. ...

If 7^103 is divided by 25, then what is the remainder? ...

\sum_{o}^{n}(-1)^{r} {/^{n}C_{r}} = take cases a)n is odd b)n is even ...

If \frac{1}{\sqrt{4x+1}}\left( (\frac{1 + \sqrt{4x+1}}{2}) - (\frac{1 - \sqrt{4x+1}}{2})\right)^{n} = ax + b x^2 + cx^3 + dx^4 + ex^5, then find n. ...

Paragraph Question (1+px+x2)n = 1+a1x + a2x2 +.....+a2nx2n The remainder when a1 + 5a2+ 9a3 + 13a4 + ......+(8n - 3)a2n is divided by p + 2 is 1. 1 2. 2 3. 3 4. 0 ...

if the sum f an A.P is same for p and q terms, show that the sum of p+q terms is 0........ *Image* S(p+q) >0 from graph ...how can it be 0 ????? and if S(p+q)=0 wat is the other root ...

1)a series f +ve nos is such that a1=4 and an+1=an+ 4/an n>0.then [a100]= (where [] represents greatest integer function) a.28 b.29 c.30 d.31 2)wht can be said abt the planes 2x-4y+2z=5 5x-y-z=8 x+y-z=7.........(multiple a ...

Again some maths questions: Q1. (Multi-Answer) Domain of the function f(x) = log_{[x-1]}(sin^2\pi x) \; is \;x\epsilon (3,\infty )-\begin{Bmatrix} p, & p+1, & p+2, & ..., & n \end{Bmatrix} , where [.] denotes greatest integer ...

The number of points of intersections when 6 circles and 5 lines intersect may be 1. 90 2. 110 3. 80 4. 120 ...

In an experiment of tossing of a coin 10 times 1)find the probability wen no two heads are consecutive........?? 2)if exactly four heads occur then probability wen all heads dont occur together is equal to..?? 3)for occurence ...

Consider an equation f'(x) ≡ ax2+bx+c = 0 If f(0) = f(-1) what will be the value of the limits in which roots of f'(x) lie ? Another question with this : limits of roots of f(x) = ? ...

If z = \cos \frac{2 \pi}{n} + i \sin \frac{2 \pi}{n} , n \in \mathBB{N}; n \ge 3 define A = \{1,z,z^2,z^3,...,z^{n-1} \} B = \{ 1, 1+z, 1+z+z^2,...,1+z+z^2+...+z^{n-1} \} Determine A \bigcap{B} ...

PLease find the sum of the given series without using calculas--- co + c1/2 + c2/3 + c4/4 ..... +cn/n+1 It is not a doubt --- just found interesting ...

On a sheet of paper the following statements are written- Exactly 1 statement in this sheet is false Exactly 2 statements in this sheet are false . . . . Exactly 100 statements in this sheet are false q)how many statements in ...

No . of zeros in n! = ? Any direct way to find out??? ...

Find the no. of integral solutions of l x-30 l + l 50 - x l = 20 ...

An insect is at the bottom of a tree that is 12m tall. Its takes 3 min 20 secs to crawl around the base of the trunk once. After this the insect starts to crawl up the trunk of the tree in a regular spiral. It makes 4 rounds ...

*Image* which of the following intervals best describes the range of K? 1. (1/2, ∞) 2. (1, ∞) 3. (1/4, ∞) 4. [1, ∞) 5. (3/4, ∞) ...

Find the total number of three number A.P's in sequence 1,2,3,4...n? ...

Find the number of ways of selecting n objects out of 3n objects,of which n are alike and rest are different ...

Prove that- 2C0/1 + 22C1/2 + 23C2/3 +...+ 2n+1Cn/n+1 = 3n+1-1/n+1 ...

If n is odd natural number then show that \sum_{r=0}^{n}{\frac{(-1)^r}{^nC_r}}=0 ...

find the no of solutions x+y+z=24 x2+y2+z2=210 xyz=440 a.1 b.2 c.3 d.infinite ...

Give another method to find the no. of solutions (other than the method where bino. thm is used) x+y+z = 24 , x,y,z≥0 and are integers ...