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In the Argand plane Z1,Z2 and Z3 are res...

In the Argand plane `Z_1,Z_2` and `Z_3` are respectively the verticles of an isosceles triangle ABC with AC=BC and `angleCAB=theta`. If `I(Z_4)` is the incentre of triangle , then :
The value of `(Z_4-Z_1)^2 (1 + cos theta) sec theta` is :

A

`(Z_2-Z_1)(Z_3-Z_1)`

B

`((Z_2-Z_1)(Z_3-Z_1))/(Z_4-Z_1)`

C

`((Z_2-Z_1)(Z_3-Z_1))/((Z_4-Z_1)^2)`

D

`(Z_2-Z_1)(Z_3-Z_1)^2`

Text Solution

Verified by Experts

The correct Answer is:
A
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