Question

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)​

Answer 1

4)Intersect at (2,6) ok

Answer 2

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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