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A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:
  • a)
    x2 cosec2θ - y2 sec2 θ = 1
  • b)
    x2 sec2 θ - y2 cosec2θ = 1
  • c)
    x2 sin2θ - ycos2θ = 1
  • d)
    x2 cos2θ - y2 sin2θ = 1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A hyperbola, having the transverse axis of length 2 sin θ, is co...
The given ellipse is 

Hence, the eccentricity  e1, of the hyperbola  is given by
1 = e1 sinθ ⇒ e1 = cosec θ ⇒ b2 = sin2θ (cosec2θ - 1) = cos2θ
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A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer?
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A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer?.
Solutions for A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. 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 A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A hyperbola, having the transverse axis of length 2 sin θ, is confocal with the ellipse 3x2 + 4y2 = 12. Then its equation is:a)x2 cosec2θ - y2 sec2 θ = 1b)x2 sec2 θ - y2 cosec2θ = 1c)x2 sin2θ - y2cos2θ = 1d)x2 cos2θ - y2 sin2θ = 1Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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