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Pair of Linear Equations in Two Variables
RD Sharma
CBSE
Grade 10

Question:

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 $(a, b)$

Step-by-Step Solution

Key Concept: $x = a$ is a vertical line and $y = b$ is a horizontal line. They intersect orthogonally at $(a, b)$.
Vertical line $x = a$ and horizontal line $y = b$ intersect at point $(a, b)$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting point $(a, b)$: 1.0 Mark

Correct Answer: Intersecting at $(a, b)$
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