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Q. 1. The straight line 5x + 4y = 0 passes through the point of intersection of the straight lines x + 2y – 10 = 0 and 2x + y + 5 = 0. (1983 - 1 Mark)
Sol. Intersection point of x + 2y – 10 = 0 and 2x + y + 5 = 0 is which clearly satisfies the line 5x + 4y = 0. Hencethe given statement is true.
Q.2. The lines 2x + 3y + 19 = 0 and 9x + 6y – 17 = 0 cut the coordinate axes in concyclic points. (1988 - 1 Mark)
Sol. The given lines cut x-axis at
and y-axis at
Now A, B, C, D are concyclic if for AC and BD intersecting at O we have AO × OC = BO × OD
which is true.
∴ The given statement is true.