Question

if z= 4-7i then additive inverse of z lies in which quadrant?​

Answer 1

hope this helps u

z=4-7i

  =(+,-)

z lies in 4th quadrant

inverse of z

-z =-4+7i

    (- ,+)

inverse of z lies 2nd quadrant

Answer 2

Step-by-step explanation:

Given that: If z= 4-7i then additive inverse of z lies in which quadrant?

To find: Quadrant of additive inverse

Solution:

We know that,if a number is A then its additive inverse is -A

Here,number is z= 4-7i

It's Additive Inverse is = -z

= -(4-7i)

Additive Inverse = -4+7i

As z= a+i(b)

where a= real part

i(b)=imaginary part

(In complex plane,horizontal axis is real axis and vertical axis is imaginary axis)

So,

additive inverse= -4+7i

Sign of real part= (-)

Sign of imaginary part=(+)

Thus,

-4+7i lies in second quadrant of complex plane.

Hope it helps you.

To learn more :

1)प्रश्न 1 से 2 तक सम्मिश्र संख्याओं मे प्रत्येक मापांक और कोणाक ज्ञात कीजिए : $z = - \sqrt 3 + \iota$

https://brainly.in/question/8941760

2)conjugate of complex number z=1/3-4i

https://brainly.in/question/1949703