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Consider a pyramid OPQRS located in the first octant (x >  0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Then
  • a)
    the acute angle between OQ and OS is π/3
  • b)
    the equation of the plane containing the triangle OQS is x – y = 0
  • c)
    the length of the perpendicular from P to the plane containing the triangle OQS is 
  • d)
    the perpendicular distance from O to the straight line containing RS is 
Correct answer is option 'B,C,D'. Can you explain this answer?
Verified Answer
Consider a pyramid OPQRS located in the first octant (x > 0, y >...
The coordinates of vertices of pyramid OPQRS will be
O(0, 0, 0), P (3, 0, 0), Q (3, 3, 0), R (0, 3, 0), 
dr's of OQ = 1, 1, 0
dr's of OS = 1, 1, 2
∴ acute angle between OQ and OS

⇒ 2x – 2y = 0 or x – y = 0
length of perpendicular from P (3, 0, 0) to plane x – y = 0

If ON is perpendicular to RS, then N 

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Consider a pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,D'. Can you explain this answer?
Question Description
Consider a pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,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 pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,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 pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,D'. Can you explain this answer?.
Solutions for Consider a pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,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 pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider a pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,D'. Can you explain this answer?, a detailed solution for Consider a pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,D'. Can you explain this answer? has been provided alongside types of Consider a pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider a pyramid OPQRS located in the first octant (x > 0, y > 0, z > 0) with O as origin, and OP and OR along the x–axis and the y–axis, respectively. The base OPQR of the pyramid is a square with OP = 3. The point S is directly above the mid-point, T of diagonal OQ such that TS = 3. Thena)the acute angle between OQ and OS isπ/3b)the equation of the plane containing the triangle OQS is x – y = 0c)the length of the perpendicular from P to the plane containing the triangle OQS is d)the perpendicular distance from O to the straight line containing RS isCorrect answer is option 'B,C,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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