Question 5 The pair of equations x = aand y = bgraphically represents line which are (A) parallel (B) intersecting at (b, a) (C) coincident (D) intersecting at (a, b)
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Solution
By graphically, for each of the following conditions , i.e: 1) a, b > 0 2) a < 0, b > 0 3) a > 0, b < 0 4) a< 0, b< 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 > 0, we have the graph as follows:
Similarly, in all cases two lines intersect at (a, b) Required answer is (D), intersecting at (a,b).