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AP EAMCET202318 May 2023Morning ShiftMathematicsEllipseActual

Let A , A ^ be the end points of major axis, S , S ^ be the foci and B , B ^ be the end points of minor axis of an ellipse E . If BAB ^ =60^ , then SBS ^ =

Options

  1. A⁻¹( 2 )
  2. B⁻¹(-2 2 )
  3. C⁻¹ ( 2 3 )
  4. D⁻¹ ( 3 2 )

Correct answer

B. ⁻¹(-2 2 )

Step-by-step solution

30^ = b a a= 3 b We have c= a^2-b^2 = 2 b Now, = c b = 2 b b = 2 , aligned & SBS ^ =2 =2 ⁻¹( 2 ) & = ⁻¹ ( 2 2 1-2 )= ⁻¹(-2 2 ) aligned

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