-
\hspace{-16}$Find all ordered pairs $\bf{(x,y)}$ in $\bf{x^2-y!=2001}$\\\\ Where $\bf{x,y\in \mathbb{N}}$ ...
-
The number of quadratic equations, which are unchanged by squaring their roots is ? ...
-
Let [x] denote the greatest integer less than or equal to x and {x} = x-[x] (commonly known as fractional part of x). Find all continuous functions f such that {f(x+y)} ={f(x)}+{f(y)} ...
-
Let [x] denote the greatest integer less than or equal to x and {x} = x-[x] (commonly known as fractional part of x). Find all continuous functions f such that {f(x+y)} ={f(x)}+{f(y)} ...
-
Let [x] denote the greatest integer less than or equal to x and {x} = x-[x] (commonly known as fractional part of x). Find all continuous functions f such that {f(x+y)} ={f(x)}+{f(y)} ...
-
why is the site under maintenance for so long. i think its about 5 days. only today did i find out another way of getting into tiit forum. Is everyone else too facing the same problem ? ...
-
why is the site under maintenance for so long. i think its about 5 days. only today did i find out another way of getting into tiit forum. Is everyone else too facing the same problem ? ...
-
*Image* *Image* *Image* *Image* *Image* *Image* *Image* please provide solutions. ...
-
*Image* *Image* *Image* *Image* *Image* *Image* *Image* please provide solutions. ...
-
prove that [√(4n+1)]=[√n+√(n+1)] for n belonging to positive integers. [.]→ G.I.F ...
-
0<x,y<1 , Prove that x^{y}+y^{x} > 1 . ...
-
Find all positive integers x and y satisfying the equation 3^x-2^y=7 ...
-
Find all real solutions to the system of equations: x+y=\sqrt{4z-1} ...(1) y+z=\sqrt{4x-1} ...(2) z+x=\sqrt{4z-1} ...(3) ...
-
This is the code of Targetiit Homepage.... [45] <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd"> <html> <head> <title>IIT JEE 2010 Preparation, Engineering Ent ...
-
This is the code of Targetiit Homepage.... [45] <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd"> <html> <head> <title>IIT JEE 2010 Preparation, Engineering Ent ...
-
Here are the problems of RMO 2011 *Image* Source: Mathlinks. ro ...
-
0<x,y<1 , Prove that x^{y}+y^{x} > 1 . ...
-
Show that there is no in finite arithmetic progression consisting of distinct integers all of which are squares. ...
-
ABC is an equilateral triangle. P is any point in it satisfying PA=3, PB=4 & PC=5 units. Find area of the triangle. ...
-
If any 7 numbers( not necessarily distinct ) are chosen from 2 to 12, prove that among those 7 numbers we can get three which form the sides of a triangle. ...
-
If any 7 numbers( not necessarily distinct ) are chosen from 2 to 12, prove that among those 7 numbers we can get three which form the sides of a triangle. ...
-
If any 7 numbers( not necessarily distinct ) are chosen from 2 to 12, prove that among those 7 numbers we can get three which form the sides of a triangle. ...
-
If any 7 numbers( not necessarily distinct ) are chosen from 2 to 12, prove that among those 7 numbers we can get three which form the sides of a triangle. ...
-
prove that for all odd k (1k + 2k + 3k + ... + nk) is divisible by n(n+1)/2. you may use principal of mathematical induction. ...
-
\hspace{-16}$Find Complex no. $\mathbf{z}$ which satisfy\\\\ $\mathbf{\mid z \mid+\mid z-25 \mid+\mid z-18-24i \mid+\mid z+7-24i \mid=70}$ Ans:: z=9+12i ...
-
Q1} How many ordered triples (a,b,c) of positive integers are there such that none of a,b,c exceeds 2010 and each of a,b,c divides a+b+c ? Q2} Let n be a positive integer. Prove that there are no positive integers x and y suc ...
-
Q1} How many ordered triples (a,b,c) of positive integers are there such that none of a,b,c exceeds 2010 and each of a,b,c divides a+b+c ? Q2} Let n be a positive integer. Prove that there are no positive integers x and y suc ...
-
If x , y , z are three real numbers not equal to 1 such that xyz=1 show that : x2/(x-1)2 + y2/(y-1)2 + z2/(z-1)2 ≥1 ...
-
Prove that if n>2,then there exists a prime p satisfying n>p>n! ...
-
1. Let f be defined on [0,1] be a twice differentiable function such that, \left|f''(x) \right|\leq 1 for all x \in \left[0,1 \right] . If f(0)=f(1) , then show that, \left|f'(x)\right|<1 for all x \in \left[0,1 \right] . ...
