Question

If $p:ax+b=c;a=0$, then equation is linear and $q:ax+b=c;a\ne b=c=0$, then equation has solution $x=0$. Which of the following options hold?

• A. Both p and q are true
• B. p is true and q is false
• C. p is false and q is true
• D. Both p and q are false

Answer 1

Answer: (C)

p is false and q is true

statement $P$ :

$ax+b=c$

if $a=0$ then equation becomes

$b=c$ This is NOT linear equation , we obtain a constant

statement $p$ is False

statement $q$ :

$ax+b=c$

given that $a\ne b=c=0$

applying above condition

$ax=0$ this is linear Equation , term having $x$ is non Zero

Degree of equation is 1 .

statement $q$ is True