Find the values of 'a' and 'b' for which the system of equations 3x + y = 3 and (a - b)x + (a + b)y = 3a + b - 3 has infinite solution...

The price of commodity X increases by 40 paise every year, while the price of commodity Y increases ...

The number of distinct integer solutions (x,y) of the equation |x+y|+|x−y|=2 , is ...

For some constant real numbers p,k and a , consider the following system of linear equations in x ...

For some real numbers $$ a $$ and $$ b $$, the system of equations $$ x + y = 4 $$ and $$ (a + ...

If $$ a $$ and $$ b $$ are non-negative real numbers such that $$ a + 2b = 6 $$, then the avera...

A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box w...