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Question

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

A
parallel
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B
coincident
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C
intersecting at (b,a)
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D
intersecting at (a,b)
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Solution

The correct option is D intersecting at (a,b)
We know that x=a represents a line which is parallel to y-axis and intersecting x-axis at (a, 0).

Similarly, y=b represents a line parallel to x-axis and intersecting y-axis at (0, b).

x-axis and y-axis are perpendicular to each other, so x=a and x=a, will also be perpendicular to each other and intersecting at (a, b) as shown in the figure.



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