Recently Active Mathematics Questions

Find the largest two digit prime factor of 200C100 ...

Find the number of ordered pairs of positive integers (m,n) satisfying m≤ 2n ≤60 ,n ≤2m≤ 60 ...

The equation of ellipse is (x-1)^2+(y-2)^2=\frac{1}{9}(\frac{3x+4y-5}{5})^2 Then find the length of minor axis of ellipse . ...

Number of Proper factors of 75600 are ? ...

Nine hundred distinct N digit natural numbers are to be formed using digits 6,8,9 only.Find smallest value of N possible. ...

Find the number of integers between 1 and 1000 having their sum of digits equal to 12 ? ...

If x,y,z R such that x2+y2+z2=1 and α=x2+2y2+3z2,then find minimum and maximum value of α ...

There are k different books and l copies of each in a college library.The number of ways in which a student can make selection of one or more books is ? ...

Find the number of n digit numbers ,which have no two consecutive digits being same ans=9n ...

Find the number of divisors of 3630 which leave remainder 1 when divided by 4 ? ans=6 ...

Find the number of permutations of letters a,b,c,d,e,f,g such that neither the pattern 'beg' nor 'cad' appears Ans:4806 ...

Find number of ordered triplets of positive integers which are solutions to the equation x+y+z=100 ans:4851 ...

For c≥1,find all the complex number z satisfying z+c lz+1l+i=0 ...

Prove that {{cosθ+sinφ)+i(sinθ-cosφ)}n+{(cosθ+sinφ)-i(sinθ-cosφ)}n =2n+1cosn(π/4 +θ-φ/2) cos[n(π/4 -θ+φ/2)] ...

Find real part of tan(α+iβ) ...

If ω≠1 is cube root of unity satisfying 1/a+ω +1/b+ω +1/c+ω =2ω2 and 1/a+ω2 +1/b+ω2 +1/c+ω2 =2ω Find value of 1/a+1 +1/b+1 +1/c+1 ...

This qsn was asked in 1 of our school exams...... Find limit as n→∞..... \frac{\sqrt{(n+1)}+\sqrt{(n+2)}+....\sqrt{2n}}{n\sqrt{n}} Applicaion of integral calculus gives ans as \frac{2}{3}(2\sqrt{2}+1) While if we solve by ...

Find the number of selections of n things from three piles,one consisting of n identical things of one type,second consisting of n identical things of second type and third consisting of n different things . ...

There are 10 greeting cards each of different color and 10 different envelopes of the same colors.Find the number of ways in which cards can go to the envelopes such that 6 cards can go into envelopes of corresponding color ...

Again from Askiitians.com (this problem was an oasis in the mind-numbingly boring queries there) Find all continuous functions f: R→R satisfying f[(x-y)2] = f2(x) - 2x f(y) + y2 ...

First look when i saw this question, I got bowled.. Then the feeling of solving this one was good.. [1] .. I thought THis is a nice question that you guys should try F(x) is a polynomial of degree n such that f(k)=1/k for k=1 ...

Find the no.of triangles that can be formed with the vertices of a polygon of 10 sides as their vertices if 1) the triangle cannot have more than one side in common. 2)the triangle cannot have any side in common with the poly ...

Show that there exists a complex Number Z satisfying |z-a| + |z+a|= 2 |c| if and only if |a| ≤ |c|. If this condition is satisfied what are the smallest and largest values of |z| ?????? ...

Find all positive integer `n` such that the equation x3+y3+z3=nx2y2z2 has positive integer solutions. ...

1) \int_{0}^{\infty}{e^{-x^2}}dx =?? 2) Given that \int_{0}^{\infty}{\frac {sinx}{x}}dx=\pi /2 find I=\int_{0}^{\infty}{\frac {sin^2x}{x^2}}dx I know these all are impossbole integrals..but just found the soln to them toaday ...

Questions from various materials n books : PERMUTATIONS & COMBINATIONS { I would continue adding qs in this forum everyday . } 3) There are 2 women participating in a chess tournment. Every participant played 2 games with the ...

Let m,n ε N ,n>m,then \sum_{k=m}^{n}{u_k(v_{k+1}-v_k)}\equiv \left|u_kv_k \right|_{m} ^{n+1} -\sum_{k=m}^{n}{v_{k+1}(u_{k+1}-u_k)} This is called Summation by parts My question is ...is this of any use for JEE ???? if yes ...

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if y= f(x) is lik dis *Image* then is graph of siny=f(x)...is rit??? ...

If I ε [ 2 , 3 ] Can we say that I ε [ 2 , 5 ] ...