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Let z(1) and z(2) be the roots of the eq...

Let `z_(1)` and `z_(2)` be the roots of the equation `z^(2)+pz+q=0`. Suppose `z_(1)` and `z_(2)` are represented by points A and B in the Argand plane such that `angleAOB=alpha`, where O is the origin.
Statement-1: If OA=OB, then `p^(2)=4q cos^(2)alpha/2`
Statement-2: If affix of a point P in the Argand plane is z, then `ze^(ia)` is represented by a point Q such that `anglePOQ =alpha` and `OP=OQ`.

A

Statement-1 is True, Statement-2 is True: Statement-2 is a correct exp,anation for statement-1.

B

Statement-1 is true, statement -2 is true, Statement-2 is not a correct explanation for statement-1.

C

Statement-1 is True, statement-2 is false,

D

statement-1 is False, Statement-2 is true.

Text Solution

Verified by Experts

The correct Answer is:
a
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