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Q.

Take four points P, Q, R, S in a plane. Draw lines by joining different pairs of points. How many lines can you draw in the following cases if three of these points are collinear?

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a

3 lines

b

4 lines

c

5 lines

d

Data insufficient

answer is B.

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Detailed Solution

Concept-We are required to choose four points in a plane for this geometrical challenge. Additionally, we know that the three points are parallel. We must determine how many lines we can connect by joining various point pairs under these circumstances. The crucial fact that we must keep in mind is that out of the four points provided, three of them are converging.
P,Q,R,S are four points in a plane that are given. Three of the points there are parallel.

Therefore, by connecting four separate point pairs, PQ, QR, RS, and SP, we may create four lines.
Hence, the correct option i

s 2

.

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