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Let S be the family of orthogonal trajectories of the family of curves 2x2 + y2 = k, for  and k > 0. If   passes through the point (1, 2), then passes through
  • a)
    (4, −√2)
  • b)
     (2, 2√2)
  • c)
    (2, −4)
  • d)
     (4, 2√2)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Let S be the family of orthogonal trajectories of the family of curves...
For the orthogonal trajectories of the family of curves,

integrating, we have
loge y = loge√x + log c1 ⇒ y = c1√x
The curve passes through the point (1, 2), then c1 = 2
Now, orthogonal trajectories in y = 2√x
At point (2, 2√2) satisfy the given condition.
 
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Most Upvoted Answer
Let S be the family of orthogonal trajectories of the family of curves...
For the orthogonal trajectories of the family of curves,

integrating, we have
loge y = loge√x + log c1 ⇒ y = c1√x
The curve passes through the point (1, 2), then c1 = 2
Now, orthogonal trajectories in y = 2√x
At point (2, 2√2) satisfy the given condition.
 
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Let S be the family of orthogonal trajectories of the family of curves2x2 + y2 = k, for and k > 0.If passes through the point (1, 2), then passes througha)(4, −√2)b)(2, 2√2)c)(2, −4)d)(4, 2√2)Correct answer is option 'B'. Can you explain this answer?
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Let S be the family of orthogonal trajectories of the family of curves2x2 + y2 = k, for and k > 0.If passes through the point (1, 2), then passes througha)(4, −√2)b)(2, 2√2)c)(2, −4)d)(4, 2√2)Correct answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let S be the family of orthogonal trajectories of the family of curves2x2 + y2 = k, for and k > 0.If passes through the point (1, 2), then passes througha)(4, −√2)b)(2, 2√2)c)(2, −4)d)(4, 2√2)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let S be the family of orthogonal trajectories of the family of curves2x2 + y2 = k, for and k > 0.If passes through the point (1, 2), then passes througha)(4, −√2)b)(2, 2√2)c)(2, −4)d)(4, 2√2)Correct answer is option 'B'. Can you explain this answer?.
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