Question:
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from these 8 points?
Out of 8 given points, 3 are collinear. How many different straight lines can be drawn by joining any two points from these 8 points?
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When points are collinear, subtract the number of lines formed by the collinear points from the total number of lines.
Updated On: Apr 23, 2025
- 26
- 28
- 27
- 25
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The Correct Option is A
Solution and Explanation
We are given that there are 8 points, 3 of which are collinear.
Step 1: Count total number of lines
The total number of lines that can be drawn by joining any two points from the 8 points is given by the combination:
\[
\binom{8}{2} = \frac{8 \times 7}{2} = 28
\]
Step 2: Subtract collinear points
The 3 collinear points can only form 1 line, so we subtract the number of lines formed by these 3 points:
\[
28 - 3 = 26
\]
Thus, the correct answer is 26.
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