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JEE Advanced Mathematics question

MathematicsEllipseJEE Advanced

is a diameter of the ellipse such that is the AM of the squares of the major and minor axes. Then the slope of is

Answer: (A)

Solution

The ellipse is . We are given

PP'^2 = = + ,

so satisfies .

If the slope of is , then . Substituting into the ellipse and dividing by :

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Question ID VK-109080