Tamil Nadu Board Solutions for Chapter: Algebra, Exercise 1: Progress Check

If three planes are parallel then the number of possible point(s) of intersection is/are _____.

For a system of linear equations in three variables the minimum number of equations required to get unique solution is _____.

A system with (infinite/unique) solution_____ will reduce to identity.

A system with _____ (infinite/no) solution will provide absurd equation.

When two polynomials of same degree has to be divided, _____ should be considered to fix the dividend and divisor.

If $r\left(x\right)=0$ when $f\left(x\right)$ is divided by $g\left(x\right)$ then $g\left(x\right)$ is called _____ of the polynomials.

If $f\left(x\right)=g\left(x\right) q\left(x\right)+r\left(x\right)$, _____ must be added to $f\left(x\right)$ to make $f\left(x\right)$ completely divisible by $g\left(x\right)$.

If $f\left(x\right)=g\left(x\right) q\left(x\right)+r\left(x\right)$, _____ must be subtracted to $f\left(x\right)$ to make $f\left(x\right)$ completely divisible by $g\left(x\right)$.