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If a number of ellipse be described having the same major axis 2 a but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be

Options

  1. A(0, a )
  2. B(0,0)
  3. C(0,-a)
  4. D(a, a)

Correct answer

D. (a, a)

Step-by-step solution

e is a variable quantity aligned & x a e a^2 + y b^2 a b^2 =1 & e x+y=a & y-a+e x=0 aligned it passes through (0, a) . Similarly, other point is (0,- a )

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