The straight line a x + b y + c = 0, where a b c ≠ 0, will pass through the first quadrant if

Question

The straight line a x + b y + c = 0, where a b c ≠ 0, will pass through the first quadrant if (A) a c > 0, bc > 0 (B) c > 0 and bc < 0 (C) bc > 0 and/or ac > 0 (D) ac < 0 and/or bc < 0

Tardigrade Admin · Accepted Answer

If the line meets the x- and y-axes at A and B, then A ≡ (-c/a , 0), B ≡ (0, -c/b ). The line will pass through the first quadrant if -c/a > 0 and/or -c/b > 0 i.e., ac < 0 and/or bc < 0

Q. The straight line $a x + b y + c = 0$ , where $ab c \neq = 0$ , will pass through the first quadrant if

$a c > 0, b c > 0$

$c > 0$ and $b c < 0$

$b c > 0$ and/or $a c > 0$

$a c < 0$ and/or $b c < 0$

If the line meets the $x$ - and $y$ -axes at $A$ and $B$ , then $A \equiv (- c / a, 0), B \equiv (0, - c / b)$ . The line will pass through the first quadrant if
$- c / a > 0$ and/or $- c / b > 0$
i.e., $a c < 0$ and/or $b c < 0$

Q. The straight line ax+by+c=0, where abc=0, will pass through the first quadrant if

ac>0,bc>0

c>0 and bc<0

bc>0 and/or ac>0

ac<0 and/or bc<0