Consider the triangle PQR.

Which of these line segments is the shortest?

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None of these

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Solution

The correct option is B
PT
We know that, out of all the line segments that are drawn to a given line from a point not lying on it, the perpendicular line segment is the shortest.

In triangle PQR, PT is perpendicular to QR.

Thus, PT is the shortest line segment.

So, the correct answer is option (b).

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