The slope of the diameter of the ellipse x^2 a^2 + y^2 b^2 = 1, whose length is the GM of the major and minor axes, is

JEE Advanced Mathematics question

The slope of the diameter of the ellipse , whose length is the GM of the major and minor axes, is

Answer: (C)

The length of the diameter is , so each half has length .

Let be one end. Since a diameter passes through the centre , :

φ + φ = ab.

Divide by : $ + φ = abφ = ab(1 +

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Question ID VK-109079