If there are 4 distinct points in a plane, then[[1]] lines can be drawn using them when three of the four lines are collinear.

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answer is 6.

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Detailed Solution

If there are 4 distinct points in a plane, then 6 lines can be drawn using them when three of the four lines are collinear.
We have 4 distinct points in a plane.
Constructing a figure according to the question keeping the four distinct points, say

A, B, C, D

that are non-collinear.

The possible pairs of combinations that can form straight lines from four given points are

A B, A C, A D, B C, B D, C D .

Therefore, 6 lines can be drawn using them when three of the four lines are collinear.

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