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

Given:

The line segment whose end points are $(0, 100)$ and $(10, 0)$.

To do:

We have to find the angle subtended at the origin by the given line segment.

Solution:

Let the coordinates of the end points of the line segment are $A (0, 100), B (10, 0)$ and the origin is $O (0, 0)$.

We know that,

If a point lies on the x-axis then its y co-ordinate is $0$ and if the point lies on the y-axis, then its x co-ordinate is $0$.

If a point lies on the x-axis then its y co-ordinate is $0$ and if the point lies on the y-axis, then its x co-ordinate is $0$.

Here,

The abscissa of $A$ is $0$. This implies,

It lies on y-axis.

Similarly, the ordinate of $B$ is $0$. This implies,

It lies on x-axis.

We know that the coordinate axes intersect each other at right angle.

Therefore, the angle subtended at the origin by the given line segment is $90^0$($=\frac{ \pi}{2}$).

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Updated on: 10-Oct-2022

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