First slide

Equation of line in Straight lines

Question

The straight line ax + by + c = 0, where $a b c \neq 0$ will pass through the first quadrant if

Moderate

A

$a c > 0, b c > 0$
B

$c > 0 and b c < 0$
C

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

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

Solution

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
$\begin{aligned} - c / a > 0 and / or - c / b > 0 \\ i.e., a c < 0 and/or b c < 0 \end{aligned}$

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