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JEE Main 2017 Mathematics question

MathematicsCircleJEE Main 2017

If a point and is any point on the circle, , then the maximum value of is:

Answer: (3)

Solution

Put the circle in standard form. Comparing with gives centre

C = (Missing argument for \frac\frac52,\ Missing argument for \frac\frac12), = + Missing argument for \frac\frac14 - 5 = = Missing argument for \frac\frac32, r = .

For a point outside the circle, is largest when is diametrically

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Question ID VK-115833