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Question

Mathematics Question on Circle

Let a circle of x2^2 + y2^2 = 16 and line passing through (1,2) cuts the circle at A and B then the locus of the mid-point of AB is:

A

x2 + y2 + x + y = 0

B

x2 + y2 - x + 2y = 0

C

x2 + y2 - x - 2y = 0

D

x2 + y2 + x + 2y = 0

Answer

x2 + y2 - x - 2y = 0

Explanation

Solution

The correct option is (C): x2^2 + y2^2 - x - 2y = 0