Category Archives: Maths

Number of solutions(non negative and positive)

By yash | Published: February 2, 2010

We are going to find the number of non-negative solutions of the equation: x+y=5 The solutions are: Value of x Value of y 0 5 1 4 2 3 3 2 4 1 5 0 The solution can be represented in the form of 0 and 1: For example, one of the solution x=0; y=5; can be written as 011111 i.e. zero 1’s followed by 0 followed by five 1’s…here 0 is [...]

Posted in Maths | Tagged combination, iitjee, integer, integral, integral solution, Maths, non negative solution, permutation, positive solution, solution of equation | Leave a comment

Proof: 1=2

By yash | Published: January 22, 2010

x2 = x + x + x + x + x + x ……….x times Differntiating both sides with respect to x , we get : 2x = 1 + 1 + 1 + 1 + 1 ……….x times ∴ 2x = x or, 2=1 Thus, we have arrived at the result 1=2 which we know is not [...]

Posted in Maths | Tagged Maths, proof 1=2, tricks | 7 Comments