Questions

If z lies on the circle $\left|\mathrm{z}-1\right|=1$ then $\frac{\mathrm{z}-2}{\mathrm{z}}$ equals

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept

By Expert Faculty of Sri Chaitanya

a

0

b

2

c

-1

d

none of these

NEW

detailed solution

Correct option is D

Note that z-1=1represents a circle with the segment joining z = 0 and z = 2 +0i as a diameter. If z lies on the circle, then z-2z-0 is purely imaginary. ( since the angle at z is π2)

Similar Questions

If $z=5+t+i\sqrt{25-{t}^{2}},(-5\le t\le 5)$ then locus of z is a curve which passes through

Want to Improve your productivity

talk to our academic experts now !!

+91

access to India's best teachers with a record of producing top rankers year on year.

+91

we will send an otp for verification

799 666 8865

support@infinitylearn.com

6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.

JEE

JEE Mock Tests

JEE study guide

JEE Revision Notes

JEE Important Questions

JEE Sample Papers

JEE Previous Year's Papers

NEET

NEET previous year’s papers

NEET important questions

NEET sample papers

NEET revision notes

NEET study guide

NEET mock tests

Popular Books

HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions

Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions