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Let the eccentricity of the hyperbola be the reciprocal of that of the ellipse x2 + 4y2 = 4. Also, the hyperbola passes through a focus of the ellipse. Then, the equation of the hyperbola is
  • a)
    x2 - 3y2 = 3
  • b)
    x2 - 3y2 = 1
  • c)
    3x2 - y2 = 3
  • d)
    3x2 - y2 = 1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let the eccentricity of the hyperbola be the reciprocal of that of...
a2 = 4, b2 = 1, e2 = 1 -
Eccentricity of hyperbola =
Focus of ellipse = … (i)
passes through focus ( ).
∴ a2 = 3
∴ b2 = a2(e2 - 1) = 1.
Equation of hyperbola:
x2 - 3y2 = 3
Focus of hyperbola = (±ae, o) = (±2, 0)
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Let the eccentricity of the hyperbola be the reciprocal of that of the ellipse x2 + 4y2 = 4. Also, the hyperbola passes through a focus of the ellipse. Then, the equation of the hyperbola isa)x2 - 3y2 = 3b)x2 - 3y2 = 1c)3x2 - y2 = 3d)3x2 - y2 = 1Correct answer is option 'A'. Can you explain this answer?
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Let the eccentricity of the hyperbola be the reciprocal of that of the ellipse x2 + 4y2 = 4. Also, the hyperbola passes through a focus of the ellipse. Then, the equation of the hyperbola isa)x2 - 3y2 = 3b)x2 - 3y2 = 1c)3x2 - y2 = 3d)3x2 - y2 = 1Correct answer is option 'A'. 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 the eccentricity of the hyperbola be the reciprocal of that of the ellipse x2 + 4y2 = 4. Also, the hyperbola passes through a focus of the ellipse. Then, the equation of the hyperbola isa)x2 - 3y2 = 3b)x2 - 3y2 = 1c)3x2 - y2 = 3d)3x2 - y2 = 1Correct answer is option 'A'. 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 the eccentricity of the hyperbola be the reciprocal of that of the ellipse x2 + 4y2 = 4. Also, the hyperbola passes through a focus of the ellipse. Then, the equation of the hyperbola isa)x2 - 3y2 = 3b)x2 - 3y2 = 1c)3x2 - y2 = 3d)3x2 - y2 = 1Correct answer is option 'A'. Can you explain this answer?.
Solutions for Let the eccentricity of the hyperbola be the reciprocal of that of the ellipse x2 + 4y2 = 4. Also, the hyperbola passes through a focus of the ellipse. Then, the equation of the hyperbola isa)x2 - 3y2 = 3b)x2 - 3y2 = 1c)3x2 - y2 = 3d)3x2 - y2 = 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.
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