JEE Exam  >  JEE Questions  >  Consider a rectangle ABCD having 5, 7, 6, 9 p... Start Learning for Free
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Let α be the number of triangles having these points from different sides as vertices and β be the number of quadrilaterals having these points from different sides as vertices. Then (β - α) is equal to:
  • a)
    795
  • b)
    1173
  • c)
    1890
  • d)
    717
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of ...

α = Number of triangles
α = 6C1 7
C
1 9
C
1
 + 
5
C
1 7
C
1 9
C
1
 + 
5
C
1 6
C
1 9
C
1
 + 
5
C
1 6
C
1 7
C
1
= 6.7.9 + 5.7.9 + 5.6.9 + 5.6.7
= 378 + 315 + 270 + 210
= 1173
β = Number of quadrilaterals
β = 5.6.7.9 = 1890
β - α = 1890 - 1173 = 717
View all questions of this test
Explore Courses for JEE exam
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer?
Question Description
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer?.
Solutions for Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA, respectively. Letαbe the number of triangles having these points from different sides as vertices andβbe the number of quadrilaterals having these points from different sides as vertices. Then (β-α) is equal to:a)795b)1173c)1890d)717Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev