The conditions for $ax+by+c=0$ to be a linear equation in two variables $(x,y)$ are

A linear equation in two variables x and y is of the form ax + by + c = 0, where

(a) $a\ne 0,b\ne 0$.

(b) $a\ne 0,b=0$

(c) $a=0,b\ne 0$

(d) a = 0, c = 0

The conditions for $ax+by+c=0$ to be a linear equation in two variables $(x,y)$ are

The Equation y = - 5, in two variables can be written in the form of ax + by + c = 0 as

Suppose $a,bϵRanda\ne 0,b\ne 0$. Let $\alpha ,\beta$ be the roots of $x^2+ax+b=0$ . Find the equation whose roots are ${\alpha }^2$, ${\beta }^2$.

If the zeroes of $x^2+ax+b$ have opposite signs but equal magnitude, then