Home Maths Complex Number General In the Argand plane and are respectively t…
Maths Complex Number General Comprehension
Published on: August 14, 2026

In the Argand plane and are respectively the vertices of an isosceles triangle with and . If is the incentre of triangle, then:

(i) The value of is equal to:

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The correct answer is:
CHECK THE SOLUTION.

(i) Using complex geometry:

Given expression:

Substitute:

Simplify:

(ii) Using the identity

From complex geometry of triangle with incenter ,

Also from previous result,

After simplifying the standard incenter relation,

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