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A vector has components 2p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system , ar has components p + 1 and 1, then (1986 - 2 Marks)
  • a)
    p = 0
  • b)
    p = 1 or p = 
  • c)
    p = – 1 or p = 
  • d)
    p = 1 or p = – 1
  • e)
    none of these .
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A vector has components 2p and 1 with respect to a rectangular cartes...
Consider  with respect to original axes and a = ( p + 1) i+j with respect to new axes.
Now, as length of vector will remain the same
⇒ p2 + 2p + 2 = 4p2 + 1
⇒ 3p2 – 2p – 1 = 0
⇒ p = 1 or – 1/3
∴ (b) is the correct answer.
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A vector has components 2p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system , ar has components p + 1 and 1, then (1986 - 2 Marks)a)p = 0b)p = 1 or p =c)p = – 1 or p =d)p = 1 or p = – 1e)none of these .Correct answer is option 'B'. Can you explain this answer?
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A vector has components 2p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system , ar has components p + 1 and 1, then (1986 - 2 Marks)a)p = 0b)p = 1 or p =c)p = – 1 or p =d)p = 1 or p = – 1e)none of these .Correct answer is option 'B'. 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 A vector has components 2p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system , ar has components p + 1 and 1, then (1986 - 2 Marks)a)p = 0b)p = 1 or p =c)p = – 1 or p =d)p = 1 or p = – 1e)none of these .Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vector has components 2p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system , ar has components p + 1 and 1, then (1986 - 2 Marks)a)p = 0b)p = 1 or p =c)p = – 1 or p =d)p = 1 or p = – 1e)none of these .Correct answer is option 'B'. Can you explain this answer?.
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