Recently Active Mathematics Questions

Let p,q,r,be three prime numbers such that 5<=p<q<r and 2p2-r2>=49 2q2-r2<=193 find p, q ,r ...

pls ans dis ques how many five digits numbers can be formed using the digits 0,1,2,3,4,5 so that the numbers are divisible by 6..?? ...

3 letters are to be sent to diff persons and addresses on the 3 envelops are also written. without looking at the addresses,the probabilities that the letters go into the right envelope is equal to ...

If a rod is marked random at n points and divided at these points,the chance that none of the parts shall be greater than 1/n th of the rod is 1/nn ...

Def : {a} = min (a-[a] , [a]+1-a) '{a}' can be defined as the distance of 'a' to the nearest integer on number line... 6n-1 Find Σ min ({r/3n} , {r/6n}) r=1 ...

Hey guys. My friend asked this question to me today and I didn't know how to do it. Integrate ex2 w.r.t x ...

If the number of even divisors of 4320 is M then the number of primes less than or equal to M is?? ...

ex= 1+x+(x2/2!)+............. Then, ∫exdx= x + x2/2 + x3/3.2! + x4/4.3!....... = x + x2/2! + x3/3! + x4/4! +.......... = ex - 1 [7][7][7][7][7][7][7] ...

A boy speaks truth 3 out of 4 times. a die is thrown and he reports it as a 6. what is the prob that it is actually a 6......... (i know a NCERT)but plz reply.. [1] ...

general eqn of normal to rectangular hyperbola xy=c2 ...

Find the all the rational values of x for which (x+x2 +3) is a rational no ...

f(x)=x^n +4; then value of f(1)+f'(1)/1! +f"(1)/2! +..... nth derivatiive ...

In a triangle ABC, tanA + tanB + tanC = k, then for what values of k :- a) there exists exactly one isosceles triangle ABC. b) there exists exatly two non-similar isosceles triangle ABC. please solve the answer.. ...

if Abcd is a rhombus and m is the pt of intersection of diagnols ,and bd=2ac, d=1+i ,m=2-i, find the pts representing A ...

lim x->infinity[(x+p)(x+q)(x+r)(x+s)]1/4 - x ...

I'm having trouble with complex numbers.[2] My friends say "Machan, that's one of the easier topics to score in JEE". So I want to improve in that area. Please suggest a few tips for that. [1] ...

i want to check my ans for the question limx→∞((x-1)(x-2)(x-3)(x+5)(x+10))1/5-x is ...

x Prove ∫ [t] dt =[x]([x]-1)/2 +[x](x-[x]) where x belongs to set of real 0 positve numbers and [.] denotes greatest integer function. ...

∞ Prove that ∫ dx/(x+ x2+1 )n =n/(n2-1) 0 where n>1 ...

integrate wrt x sqrt(sinx)cos^5x in the limits 0 to pi/2 ...

Q1. A fixed Pt. P(5,2) is given and two points A and B on x=y and y=0, Find: i) coordinates of A for |PA+PB+PC|min ii) coordinates of B for |PA+PB+PC|min iii) value of |PA+PB+PC|min ...

A pack contains n distinct red cards and n distinct white cards.This pack of 2n cards is divided into 2 equal parts at random.A card is drawn from each part at random ...find the probability that both the cards are of same co ...

Find value of "a" for which the inequality 3-mod(x-a)>x2 is satisfied by at least one negative value of x ...

Prove that x x ∫etxe-t2dt=ex2/4∫e-t2/4dt 0 0 ...

Solve x1/3+(2x-3)1/3=(12(x-1))1/3 ...

Suppose we take the first n primes, multiply them together, and add one. Does this number have to be prime? Give a proof or a counterexample. be confident in your answer ...

Without graphing can you write out all solutions to x2 = 2x ? This is not entirely JEE stuff, but you can learn an interesting concept here ...

Prove it: sin-1(1-x) - 2sin-1x = pi/2 ...

2 If for non zero x, a.f(x) +b.f(1/x)=1/x -5 where a≠b then find ∫ f(x)dx 1 ...

hi friends can u prove pythagoras thm by pure geometry ? if u already know the method its fine else try to prove . its interesting really !!!! ...