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In an Agrad plane z(1),z(2) and z(3) ar...

In an Agrad plane `z_(1),z_(2) and z_(3)` are, respectively, the vertices of an isosceles trinagle ABC with AC= BC and `/_CAB = theta`. If `z_(4)` is incentre of triangle, then
The value of `(z_(4) -z_(1))^(2) (cos theta + 1) 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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