Find the angle subtended at the origin by the line segment whose … - Vidyadip

Question

Find the angle subtended at the origin by the line segment whose end points are (0, 100) and (10, 0).

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Answer

Let co-ordinates of the end points of a line segment are A(0, 100), B(10, 0) and origin is O(0, 0).
Abscissa of A is 0. It lies on y-axis.
Similarly, ordinates of B is 0. It lies on x-axis.
But axes intersect each other at right angle.
AB will subtended 90° at the origin. Angle is 90° or $\frac{\pi}{2}.$

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