Comprehension In an argand plane \( z_{1}, z_{2} \) and \( z_{3} \) are resepectively the vertic...

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Comprehension
In an argand plane \( z_{1}, z_{2} \) and \( z_{3} \) are resepectively the vertices of an isosceles triangle \( A B C \) with \( A C \) \( =B C \) and \( \angle C A B=\theta \). If \( z_{4} \) is incentre of triangle. Then
The value of \( \left(z_{4}-z_{1}\right)^{2}(1+\cos \theta) \sec \theta \) is
(a) \( \left(z_{2}-z_{1}\right)\left(z_{3}-z_{1}\right) \)
(b) \( \frac{\left(z_{2}-z_{1}\right)\left(z_{3}-z_{1}\right)}{\left(z_{4}-z_{1}\right)} \)
(c) \( \frac{\left(z_{2}-z_{1}\right)\left(z_{3}-z_{1}\right)}{\left(z_{4}-z_{1}\right)^{2}} \)
(d) \( \left(z_{2}-z_{1}\right)\left(z_{3}-z_{1}\right)^{2} \)
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