Question 19/20: Set 1 - Try Out 2026 - Quantitative Knowledge (SNBT)

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Given line $g_1$ passes through point $A(-1, 1)$ and $B(2, 3)$ . Also given the equation of line $g_2$ : $mx + ny - 7 = 0$ , where $m$ and $n$ are real numbers.

Which statements are true based on the information above?

$(1)$ Line $g_1$ and $g_2$ are parallel if $m = 4$ and $n = 6$ .

$(2)$ Point $B$ passes through line $g_2$ if $m = 2$ and $n = -1$ .

$(3)$ If $g_1$ and $g_2$ are parallel, then $\frac{m}{n} = -\frac{3}{2}$ .

$(4)$ If $m = 3$ and $n = 2$ , then $g_1$ and $g_2$ are perpendicular.

$(1), (2), \text{ and } (3)$ ONLY are true

$(1) \text{ and } (3)$ ONLY are true

$(2) \text{ and } (4)$ ONLY are true

$(4)$ ONLY is true

ALL statements are true

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Number 19

Command Palette

Number 19