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NTA Abhyas JEE Main2020MathematicsEllipsePractice

If 0,3 + 5 is a point on the ellipse whose foci are 2,3 and - 2,3 , then the length of the semi-major axis is

Correct answer

3

Step-by-step solution

If P is a point on the ellipse having S & S ' as foci, then P S + P S ′ = 2 a Where 2 a = length of the major-axis ⇒ 2 2 + 5 + 2 2 + 5 = 2 a ⇒ a = 3 = semi-major axis

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