Q.10) The graph of the
following pair of linear
equations 3x - 5y = 11 and 6x -
10y = 7 are
lines. *
O parallel
O intersecting
O coincident
O none of these
Answers
Answer:
the graph is parallel
Step-by-step explanation:
check with the method of a1/a2=b1/b2≠c1/c2
Given : 3x - 5y = 11, 6x – 10y = 7
To Find : type of the graph of the pair of linear equations
O parallel
O intersecting
O coincident
O none of these
Solution:
Pair of linear equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Consistent
if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others)
a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other )
Inconsistent
if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other)
3x - 5y = 11,
6x – 10y = 7
a₁/a₂ = 3/6 = 1/2
b₁/b₂ = -5/-10 = 1/2
c₁/c₂ = 11/7
1/2 = 1/2 ≠ 11/7
a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( Inconsistent , No solution , lines are parallel to each other)
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