The centre and one of the foci (F) of an ellipse are at (0, 0) and (-c, 0) respectively. If P(x, y) is any point on the ellipse and 2a is the length of major axis, then what is PF equal to?

NDA 2026 Mathematics question

The centre and one of the foci of an ellipse are at and respectively. If is any point on the ellipse and is the length of major axis, then what is equal to?

(A)
(B)
(C)
(D)Correct

Answer: (D)

Solution

The ellipse is with , i.e. . The directrix corresponding to the focus is $x =

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Question ID VK-030424