Recently Active Mathematics Questions

please explain what does max { |x| , |y| } ≤ 4 . stand for in the foll ques????? Cosnider the region R which is enclosed by the curve y ≥ √ 1 - x2 and max { |x| , |y| } ≤ 4 . The slope of a family of lines defined as ...

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 ...

A person is to walk from A to B. However he is restricted to walk only to the right of A or upward of A, but not necessarily in this order. in the figure there are m vertical and n horizontal lines. Determine the total number ...

If sin2x=1 Then what is the no. of solutions it has in [ -3∩ , 4∩ ] ? ...

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 ...

The value of ∫-20 [x3+3x2+3x+3+(x+1)cos(x+1)]dx is (a)0 (b) 3 (c) 4 (d) 1 ...

Two cards are drawn from a well shuffled pack of 52 cards. Find the probability that one of them is a red card & the other is a queen. ...

Each of the 'n' passengers sitting in a bus may get down from it at next stop with probability P.Moreover, at the next stop either no passenger or exactly one passenger boards the bus. The probability of no passenger boarding ...

PARAGRAPH : f(x) = ex / x decreases & increases respectively in (-∞,0) U (0,1) & (1,∞) respectively 1 ) Then what r the no. of solutions of ex = 2x ? A) 0 B) 1 C) 2 D) >2 2 ) The no of solutions of ex - 3x = 0 & ex + 3 ...

Q: If |Z+2/(Z)|=4, Then Max. and Min. value of |Z| = here Z is a complex no. ...

lim (1+ 1/a1 )(1+ 1/a2 )(1+ 1/a3 )....(1+ 1/an ) n→∞ where an is an=n(1+an-1) ; a1=2 ...

*Image* and yn = xn*xn Then what is the value of y1 + y2 + y3 + y4 + y5 + y6 + y7 + y8? 1. 459 2. 259 3. 257 4. 467 5. None of these ...

Ques) The greatest integer whiich divides the number 101 100 -1 is: (a) 100 (b) 1000 (c) 10000 (d) 100000 ...

the least natural number 'a' for which x + \frac{a}{x^2} > 2 for all x \epsilon (0,infinity) is (a) 1 (b) 2 (c) 5 (d) none ans= (b) plz explain how? ...

prove that non-real non real can be real!!! [those who already knw the answer plz dont post ...please let oders wreck their brains!!] hint: name of the topic is complex!!but JUST THINK SIMPLE ...

What sthe remainder when 32^{{32}^{32}} diviided by 7 ??? ...

prove that the value of log25 lies between 3/2 and 7/3 ? ...

Ari, the king of Egypina, is very vain Wishes all his soldiers be called by his own name! Dexter, his minister, finds this ludicrous, And to the relief of the soldiers, Manages a fine bargain. “Your highness, all soldiers w ...

Prove that \frac {C_0}{x}- \frac {C_1}{x+1}+ \frac {C_2}{x+2} -......+(-1)^n\frac {C_n}{x+n}=\frac {n!}{x(x+1)..(x+n)} ...

Prove that \frac {C_0}{n}- \frac {C_1}{n+1}+ \frac {C_2}{n+2} -......+(-1)^n\frac {C_n}{2n}=\frac {(n!)(n-1)!}{(2n)!} ...

(1)if f'(0)=0 and f(x) is a differentiable and increasing function then \lim_{x\rightarrow 0}\frac{xf'(x^{2})}{f'(x)}= (a) is always 0 (b) may not exist as LHL may not exist (c) may not exist as RHL may not exist (d) RHL is a ...

Here is a great problem for the olympiad pursuers -- as far as I think-- Ptove that every positive integer can be written as the sum of not more than 48 integers , each raised to the power 4 and zeroes are excluded. ...

Find coeff of xnyn in expansion of [(1+x)(1+y)(x+y)]^n ...

Another olympiad stuff -- If a+b+c=0; find ( b-c/a + c-a/b + a-b/c ) ( a/b-c + b/c-a + c/a-b ). ...

In (1 + x + x2 + 2x3 + x4 + x5 + x6)n the coefficient of x4 is?????? ...

find the equations of tangents to the curve y2-2x3-4y+8=0 from the point (1,2) ...

Didnt want to make the previous thread tooo long..http://targetiit.com/iit-jee-forum/posts/inequalities-sikhna-chahte-ho-to-sikho-varna-koi-b-11546.html so new questions in new thread... This is season 2 of "Inequalities Sikh ...

Consider the differentiable function f(x) defined implicitly by the eqn y^3-3y+x=0 in the interval (-\propto ,-2)\bigcup{(2,\propto) } Given f(-10\sqrt{2})=2\sqrt{2} find f''(-10\sqrt{2}) ... A small hint will do....i mean wi ...

Q1Prove log_e[(1+x)^{1+x}.(1-x)^{1-x}]=2[\frac {x^2}{1.2} + \frac {x^4}{3.4} + \frac {x^6} {5.6} +..\infty] Q2 If n≈N then show that \sqrt {\frac {N}{n}}=\frac {N}{n+N}+\frac {n+N}{4n} what is most appropriate proof for thi ...