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There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How?
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There are 12 points in a plane. No 3 of which are collinear except tha...
Solution:
Given, there are 12 points in a plane, out of which 6 points are collinear.
So, we can draw a straight line passing through these 6 points.
Now, we have 7 points left in the plane.
We know that a straight line can be formed by connecting 2 points.
Therefore, the number of straight lines that can be formed by selecting 2 points from 7 points = 7C2
= (7 * 6) / (2 * 1)
= 21
Also, there are 6 points on the collinear line.
Therefore, the total number of straight lines = 21 + 6
= 27
But, we have overcounted some lines as they are passing through the collinear points.
So, the number of distinct lines = 27 - (6C2)
= 27 - 15
= 12
Now, we have to add the 6 lines passing through the collinear points.
Therefore, the total number of different straight lines = 12 + 6
= 18
But, we have to exclude the line passing through all 6 collinear points.
Therefore, the final answer = 18 - 1
= 17
Hence, the correct option is (C) 52.
Given, there are 12 points in a plane, out of which 6 points are collinear.
So, we can draw a straight line passing through these 6 points.
Now, we have 7 points left in the plane.
We know that a straight line can be formed by connecting 2 points.
Therefore, the number of straight lines that can be formed by selecting 2 points from 7 points = 7C2
= (7 * 6) / (2 * 1)
= 21
Also, there are 6 points on the collinear line.
Therefore, the total number of straight lines = 21 + 6
= 27
But, we have overcounted some lines as they are passing through the collinear points.
So, the number of distinct lines = 27 - (6C2)
= 27 - 15
= 12
Now, we have to add the 6 lines passing through the collinear points.
Therefore, the total number of different straight lines = 12 + 6
= 18
But, we have to exclude the line passing through all 6 collinear points.
Therefore, the final answer = 18 - 1
= 17
Hence, the correct option is (C) 52.
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There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How?
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There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How?.
There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 12 points in a plane. No 3 of which are collinear except that 6 points which are collinear. The number of different straight lines is? A)50 B)51 C)52 D)none The answer is option C. How?.
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