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The pair of equations x = a and y = b gr...

The pair of equations `x = a` and `y = b` graphically represents lines which are

A

parallel

B

intersecting at (b, a)

C

coincident

D

intersecting at (a, b)

Text Solution

Verified by Experts

The correct Answer is:
D

By graphically in every condition, if `a, b gt 0, a, b lt 0, a gt0, b lt 0, a lt 0, b gt 0` but ` a = b !=0`.
The pair of equations x = a and y = b graphically represents lines which are intersecting at (a, b).
If `a, b gt 0`

Similarly, in all cases two lines intersect at (a, b).
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Knowledge Check

  • 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 exactly two points
    C
    coincident
    D
    parallel
  • If we draw x = a and y = b graphically, then these two lines will intersect at:

    A
    (a, b)
    B
    (a,0)
    C
    (0, b)
    D
    (-a, -b)
  • If we draw x = a and y = b graphically, then these two lines will intersect at:

    A
    (a, b)
    B
    (a, 0)
    C
    (0, b)
    D
    (-a, -b)
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