If the equations 4x + (k − 2)y + 3 = 0 and (k − 2)x + 9y − 5 = 0 (k > 0) are parallel, then find the value of k^2 + 6.

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...