CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Purely Real

For a <0, ia...

Question

For $a < 0$ , $arg (i a)$ is

A

\frac{π}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\frac{π}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

- \frac{π}{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $- \frac{π}{2}$
For $z = i a, a < 0$
$z$ must lies on negative imaginary axis.
Hence, $arg (z) = arg (i a) = - \frac{π}{2}$

Suggest Corrections

thumbs-up

5

Similar questions

Q. The value of

ln 2 \int 0 \sqrt{e^{x} - 1} d x

0 \leq A \leq \frac{π}{4},

{tan}^{- 1} (\frac{1}{2} tan 2 A) + {tan}^{- 1} (cot A) + {tan}^{- 1} ({cot}^{3} A)

Q. The range of

{sec}^{- 1} x

Q. The value of ‘a’ for which

a x^{2} + s i n^{- 1} (x^{2} - 2 x + 2) + c o s^{- 1} (x^{2} - 2 x + 2) = 0

has a real solution is

Q. The number of solutions of

{sin}^{5} x - {cos}^{5} x = \frac{1}{cos x} - \frac{1}{sin x}

sin x \neq cos x)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon