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There are four lines in a plane no two of which are parallel. The maximum number of points in which they can intersect is :
- a)4
- b)5
- c)6
- d)7
Correct answer is option 'C'. Can you explain this answer?
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There are four lines in a plane no two of which are parallel. The maxi...
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There are four lines in a plane no two of which are parallel. The maxi...
Explanation:
When two lines intersect, they form a point. Therefore, the first line can intersect the other three lines at three points each, resulting in a total of 9 points of intersection. However, when we add the second line, it can only intersect the remaining two lines at two points each, resulting in a total of 4 additional points of intersection. Similarly, the third line can only intersect the remaining one line at one point, resulting in only one additional point of intersection. Therefore, the maximum number of points of intersection is 9 + 4 + 1 = 14. However, each point of intersection is counted twice (once for each line), so we need to divide by 2 to get the total number of distinct points of intersection. Therefore, the answer is (9 + 4 + 1) / 2 = 7.
Answer: (C) 6
When two lines intersect, they form a point. Therefore, the first line can intersect the other three lines at three points each, resulting in a total of 9 points of intersection. However, when we add the second line, it can only intersect the remaining two lines at two points each, resulting in a total of 4 additional points of intersection. Similarly, the third line can only intersect the remaining one line at one point, resulting in only one additional point of intersection. Therefore, the maximum number of points of intersection is 9 + 4 + 1 = 14. However, each point of intersection is counted twice (once for each line), so we need to divide by 2 to get the total number of distinct points of intersection. Therefore, the answer is (9 + 4 + 1) / 2 = 7.
Answer: (C) 6
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There are four lines in a plane no two of which are parallel. The maxi...
6, Option C. Point is intersection of any 2 given lines. 6 is the maximum
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There are four lines in a plane no two of which are parallel. The maximum number of points in which theycan intersect is :a)4b)5c)6d)7Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about There are four lines in a plane no two of which are parallel. The maximum number of points in which theycan intersect is :a)4b)5c)6d)7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are four lines in a plane no two of which are parallel. The maximum number of points in which theycan intersect is :a)4b)5c)6d)7Correct answer is option 'C'. Can you explain this answer?.
There are four lines in a plane no two of which are parallel. The maximum number of points in which theycan intersect is :a)4b)5c)6d)7Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about There are four lines in a plane no two of which are parallel. The maximum number of points in which theycan intersect is :a)4b)5c)6d)7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are four lines in a plane no two of which are parallel. The maximum number of points in which theycan intersect is :a)4b)5c)6d)7Correct answer is option 'C'. Can you explain this answer?.
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