z is a unimodular complex number Statement 1 : arg (z^2+z^{-}) = arg z Statement 2 : z^{-} = cos (arg z) - isin (arg z)

Correct Answer is : Statement -1 is false, statement-2 is true.

Statement -1 is true, statement-2 is true and statement-2 is correct explanation forstatement-I

Statement-I is true, statement-2 is true and statement-2 is NOT the correctexplanation for statement-I

Statement-I is true, statement-2 is false

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

JEE Mains Model Paper 1

Question : 46 of 90

Marks: +1, -0

z is a unimodular complex number
Statement 1 : arg (z2+

−

) = arg z
Statement 2 :

−

= cos (arg z) - isin (arg z)

Statement -1 is true, statement-2 is true and statement-2 is correct explanation forstatement-I
Statement-I is true, statement-2 is true and statement-2 is NOT the correctexplanation for statement-I
Statement-I is true, statement-2 is false
Statement -1 is false, statement-2 is true.

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