A pair of equations x=2, y=6 graphically represents
lines.
1) Parallel 2) Intersect at (6,2)
4) Coincident 4)Intersect at (2,6)
Answers
4)Intersect at (2,6) ok
Given : A pair of equations x =2, y=6
To Find : graphically represents _________ lines.
a) parallel
b) coincident
c) intersect at (6,2)
d) intersect at (2,6)
Solution:
pair of equations x =2, y=6 intersect at ( 2, 6)
Hence graphically represents intersect at (2,6) lines.
intersecting lines.
Correct option is d) intersect at (2,6)
Additional Info:
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)
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