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Let a hyperbola passes through the focus of the ellipse . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then (2006 - 5M, –1)
  • a)
    the equation of hyperbola is
  • b)
    the equation of hyperbola is
  • c)
    focus of hyperbola is (5, 0)
  • d)
    vertex of hyperbola is (5 , 0)
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
Let a hyperbola passes through the focus of the ellipse . The transver...
For the given ellipse
⇒ Eccentricity of hyperbola 
Let the hyperbola be  = 1 then
 = 1
 As it passes through focus of ellipse
i.e. (3, 0)
∴ we get A2 = 9 ⇒ B2 = 16
∴ Equation of hyper bola isfocus of hyperbola is (5, 0), vertex of hyperbola is (3, 0).
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Let a hyperbola passes through the focus of the ellipse . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then (2006 - 5M, –1)a)the equation of hyperbola is b)the equation of hyperbola is c)focus of hyperbola is (5, 0)d)vertex of hyperbola is (5 , 0)Correct answer is option 'A,C'. Can you explain this answer?
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Let a hyperbola passes through the focus of the ellipse . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then (2006 - 5M, –1)a)the equation of hyperbola is b)the equation of hyperbola is c)focus of hyperbola is (5, 0)d)vertex of hyperbola is (5 , 0)Correct answer is option 'A,C'. 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 a hyperbola passes through the focus of the ellipse . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then (2006 - 5M, –1)a)the equation of hyperbola is b)the equation of hyperbola is c)focus of hyperbola is (5, 0)d)vertex of hyperbola is (5 , 0)Correct answer is option 'A,C'. 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 a hyperbola passes through the focus of the ellipse . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then (2006 - 5M, –1)a)the equation of hyperbola is b)the equation of hyperbola is c)focus of hyperbola is (5, 0)d)vertex of hyperbola is (5 , 0)Correct answer is option 'A,C'. Can you explain this answer?.
Solutions for Let a hyperbola passes through the focus of the ellipse . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then (2006 - 5M, –1)a)the equation of hyperbola is b)the equation of hyperbola is c)focus of hyperbola is (5, 0)d)vertex of hyperbola is (5 , 0)Correct answer is option 'A,C'. 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.
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