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There are 25 points on a plane of which 7 are collinear. Now solve the following:
Q. How many straight lines can be formed?
- a)7
- b)300
- c)280
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
There are 25 points on a plane of which 7 are collinear. Now solve the...
Total number of straights lines
= 25C2 - 7C2 + 1 = 280
25C2 selecting 2 points from total of 25 points
7C2 selecting 2 points from total of 7 points [ subtracting them because they are collinear
7C2 selecting 2 points from total of 7 points [ subtracting them because they are collinear
Most Upvoted Answer
There are 25 points on a plane of which 7 are collinear. Now solve the...
Solution:
Number of straight lines that can be formed by joining two points out of 25 points can be given by the formula:
nC2 = n(n-1)/2
where n is the number of points.
So,
Number of straight lines that can be formed by joining two points out of 25 points = 25(25-1)/2
= 25 x 24/2
= 300
However, 7 points are collinear, which means they lie on the same straight line.
So, the number of straight lines that can be formed by joining two points out of the remaining 18 points (25-7=18) will be fewer.
Number of straight lines that can be formed by joining two points out of 18 points = 18(18-1)/2
= 18 x 17/2
= 153
Adding the number of straight lines that can be formed using the 7 collinear points (which is 1), we get the total number of straight lines that can be formed as:
300 - (300 - 153 + 1)
= 154
Therefore, the correct answer is option C) 280.
Number of straight lines that can be formed by joining two points out of 25 points can be given by the formula:
nC2 = n(n-1)/2
where n is the number of points.
So,
Number of straight lines that can be formed by joining two points out of 25 points = 25(25-1)/2
= 25 x 24/2
= 300
However, 7 points are collinear, which means they lie on the same straight line.
So, the number of straight lines that can be formed by joining two points out of the remaining 18 points (25-7=18) will be fewer.
Number of straight lines that can be formed by joining two points out of 18 points = 18(18-1)/2
= 18 x 17/2
= 153
Adding the number of straight lines that can be formed using the 7 collinear points (which is 1), we get the total number of straight lines that can be formed as:
300 - (300 - 153 + 1)
= 154
Therefore, the correct answer is option C) 280.
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There are 25 points on a plane of which 7 are collinear. Now solve the...
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There are 25 points on a plane of which 7 are collinear. Now solve the following:Q. How many straight lines can be formed?a)7b)300c)280d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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