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Pair of Linear Equations in Two variables — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsPair of Linear Equations in Two variables1 Mark
MCQ
Choose the correct answer from the given four options : Graphically, the pair of equations $6x \ – 3y + 10 = 0, 2x \ – y + 9 = 0$ represents two lines which are :
  • A
    Intersecting at exactly one point.
  • B
    Intersecting at exactly two points.
  • C
    Coincident.
  • ✓
    Parallel.
✓

Answer

Correct option: D.
Parallel.
The given equations are
$6x - 3y + 10 = 0$
$\Rightarrow\ 2\text{x}-\text{y}+\frac{10}{3}=0 \ [$dividing by $3] .....(i)$
and $2x - y + 9 = 0 .....(ii)$
Now, table for $2\text{x}-\text{y}+\frac{10}{3}=0$
$x$ $0$
$-\frac{9}{2}$
$\text{y}=2\text{x}+\frac{10}{3}$
$\frac{10}{3}$
$0$
Points
 $A$ $B$
and teble of $2x - y + 9 = 0,$
$x$ $0$
$-\frac{9}{2}$
$y = 2x + 9$
 $9$ $0$
Points
 $C$ $D$

Hence, the pair of equations represents two parallel lines.

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