﻿ A and B are two fixed points. The vertex C of a Δ ABC moves such that cot A + cot B = constant. Locus of C is a straight line: : Kaysons Education

# A And B Are Two Fixed Points. The Vertex C Of A Δ ABC moves Such That Cot A + Cot B = Constant. Locus Of C is A Straight Line:

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## Question

### Solution

Correct option is

Parallel to AB

It is given that point A and B are fixed. Only point C is moving.

And also cot A + cot B = constant = k

C lies on a line which is always at a distance P from AB.

Hence, locus of C is a straight line parallel to AB.

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