Recently Active Mathematics Questions

In a series of games between team A and team B,they decide to play on till a team wins 5 matches .In how many ways can A win the series if no match ends in a draw? Please explain how you solved it! Answer is 126 ...

\hspace{-16}$If $\bf{\begin{Vmatrix} \bold{x^3+2=3y}\\\\ \bold{y^3+2=3z}\\\\ \bold{z^3+2=2w} \\\\ \bold{w^3+2=3x} \end{Vmatrix}}$\\\\\\ Then no. of Real ordered pairs of $\bf{(x,y,z,w)}$ is ...

Let S = \left\{(x,y): |||x|-2|-1|+|||y|-2|-1|=1 \right\} . If a wire is made out of S, then the length of such wire is? Source : FIITJEE PT II (P1) Q.1 (Maths) ...

∫sin2(log x) dx also ∫ log x/(1 + log x)2 dx ...

solve for least values x and y... 2(sin x + sin y) - 2 cos(x-y)=3. ...

If A is an Invertible Matrix, Show that det(AT A)>0 ...

The number of quadratic equations, which are unchanged by squaring their roots is ? ...

Find the sum of n terms: 1+2(1-a) +3(1-a)(1-2a)..........k(1-a)(1-2a)...{1-(k-1)a} ...

if the sides of the triangle is determined by throwing a triplet of dice then the number of different triangles with all the distinct sides is?? ...

202 x 20002 x 200000002 x 20000...(13 zeroes)...2x 2... (31 zeroes)...2. Find the sum of the digits of the product thus formed. ...

The number of quadratic equations, which are unchanged by squaring their roots is ? ...

\hspace{-16}$If $\bf{a_{1}+a_{2}.2!+a_{3}.3!+......+a_{n}.n!=695}$. Then $\bf{a_{4}=}$\\\\ If $\bf{0\leq a_{k}\leq k}$ and $\bf{n!=n.(n-1).(n-2)........3.2.1}$ ...

∫[ ( x2 + 1 ) / ( x4 + 1) ] dx ...

\hspace{-16}$Find Min. value of $\bf{\mid z^2-az+a\mid}$\\\\ Where $\bf{a\in\mathbb{R}}$ and $\bf{\mid z \mid \leq 1}$ and $\bf{z\in \mathbb{C}}$ ...

\hspace{-16}$If $\bf{f(1)=1}$ and $\bf{f(x+5) > f(x) +5 f(x+1) < f(x) + 1}$\\\\ and $\bf{g(x)=f(x)-x+1}$.Then $\bf{g(2012)}$ is ...

The 4th power of the common difference of an A.P. with integer entries is added to the product of any 4 consecutive terms of it. Prove that the resulting sum is the square of an integer. ...

Shan parks his car among 6 cars already standing in a row, his car not being parked at an end. On return he finds that exactly 4 of the 7 cars are still there. What is the probability that both the cars parked on two sides of ...

no. of ways to make a 5 letter word out of the word SUCCESS such that no 2 C and no 2 S are together is?? ...

if the curves ax2+4xy+2y2+x+y+5=0 and ax2+6xy+5y2+2x+3y+8=0 intersect at 4 concyclic points then the value of |a| is ??? ...

Find the equation and length of common tangents to x^2/a^2 - y^2/b^2=1 and y^2/a^2 -x^2/b^2=1 . Please explain how you have solved it Answers: x±y=±√(a^2-b^2) And √2(a^2+b^2)/√(a^2-b^2) ...

8 prizes are to be distributed by a lottery.The first person takes 5 tickets from a box containing 50 tickets.In how many ways can he extract them so that exactly two tickets are winning?? ...

What will be ur easiest approach on this question... find x.. *Image* easy.. though interesting...!! ...

if x*tan(y) + 1 = (1+x^2)^(1/2) , find dy/dx. ...

Shan parks his car among 6 cars already standing in a row, his car not being parked at an end. on return he finds that only 4 of the 7 cars are still there. wHAT IS THE PROBABAILITY THAT BOTH THE CARS PARKED ON BOTH SIDES OF ...

\hspace{-16}\bf{\sum_{n=1}^{\infty}\;\sum_{m=1}^{\infty}\;\frac{1}{m.n.(m+n+1)}}$ ...

\int_{0}^{x}{f(t)d(t)} ----> 5 as |x| ---> 1, then value of 'a' so that the equation 2x + \int_{0}^{x}{f(t)d(t)} = a has at least two roots of opposite signs in (-1,1) is a) 0<a<1 b) 0<a<3 c) -1<a<∞ ...

1. \text{If} \; \sum_{x=\pi-^{10}C_7}^{x= \pi + ^{10}C_r} \; \sin(x^o) = 0 , then value of r is ? 2. Side lengths of the triangle are 3 consecutive integers, and one of the angles in twice that of other, then no. of such tria ...

Q) let a,b,c be distinct complex nos. such that |a|=|b|=|c|>0 . if a+bc , b+ac , c+ab are real numbers then abc = __ Ans. 1 a method or a solution would be appreciated. ...

let f be a one to one continuous function such that f(2) =3and f(5)=7. given (2to5)∫ f(x) dx =17 then value of (3to7)∫ f-1(x) dx is (a) 10 (b) 11 (c)12 (d) 13 ans c 2 if nCk is cmbination of n diff. thing taking k at a ti ...

Let z and w be two complex numbers such that |z|=|w|=1 and |z+iw|=|z-iw|=2. then z= ...