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Let S be the set of all triangles in the  xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50sq. units, then the number of elements in the set S is:
  • a)
    9
  • b)
    18
  • c)
    32
  • d)
    36
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Let S be the set of all triangles in the xy-plane, each having one ver...
Let A(α,0) and B(0,β) be the vectors of the given triangle AOB
⇒ |αβ| = 100
⇒ Number of triangles
= 4 × (number of divisors of 100)
= 4 × 9 = 36
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Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50sq. units, then the number of elements in the set S is:a)9b)18c)32d)36Correct answer is option 'D'. Can you explain this answer?
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Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50sq. units, then the number of elements in the set S is:a)9b)18c)32d)36Correct 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 Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50sq. units, then the number of elements in the set S is:a)9b)18c)32d)36Correct 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 Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50sq. units, then the number of elements in the set S is:a)9b)18c)32d)36Correct answer is option 'D'. Can you explain this answer?.
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