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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.
  • ✓
    Intersecting at exactly two points.
  • C
    Coincident.
  • D
    Parallel.
✓

Answer

Correct option: B.
Intersecting at exactly two points.
The given equations are6x - 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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