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AP EAMCET202527 May 2025Morning ShiftMathematicsEllipseActual

Assertion (A) : The length of the latus rectum of an ellipse is 4. The focus and its corresponding directrix are respectively (1,-2) and 3 x+4 y-15=0 . Then its eccentricity is 1 2 . Reason (R) : Length of the perpendicular drawn from focus of an ellipse to its corresponding directrix is a (1-e^2 ) e . Then which one of the following is correct ?

Options

  1. A(A) and (R) are true, and (R) is the correct explanation to (A)
  2. B(A) and (R) are true, and (R) is not the correct explanation to (A)
  3. C(A) is true, (R) is false
  4. D(A) is false, (R) is true

Correct answer

A. (A) and (R) are true, and (R) is the correct explanation to (A)

Step-by-step solution

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