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The foci of a hyperbola are the vertices of the ellipse and the directrices of the hyperbola pass through the foci of the ellipse. The radius of the auxiliary circle of the hyperbola is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A,B,D'. Can you explain this answer?
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The foci of a hyperbola are the vertices of the ellipse and the di...
Focus of hyperbola = Vertex of ellipse = (10, 0) and (-10, 0)
⇒ ae = 10 ...(1)
Directrix of hyperbola pass through focus of ellipse.
⇒ x = a/e pass through (6, 0)
⇒ a/e = 6 ...(2)
From (1) and (2):
a2 = 60 and b2 = a2(e2 - 1) = 40
Equation of the hyperbola is
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The foci of a hyperbola are the vertices of the ellipse and the di...
Focus of hyperbola = Vertex of ellipse = (10, 0) and (-10, 0)
⇒ ae = 10 ...(1)
Directrix of hyperbola pass through focus of ellipse.
⇒ x = a/e pass through (6, 0)
⇒ a/e = 6 ...(2)
From (1) and (2):
a2 = 60 and b2 = a2(e2 - 1) = 40
Equation of the hyperbola is
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The foci of a hyperbola are the vertices of the ellipse and the directrices of the hyperbola pass through the foci of the ellipse. The radius of the auxiliary circle of the hyperbola isa)b)c)d)Correct answer is option 'A,B,D'. Can you explain this answer?
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