NCERT Class 11 Mathematics Solutions: Chapter 5 –Complex Number and Quadratic Equations Miscellaneous Exercise Part 10

Doorsteptutor material for KVPY is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Definition of Complex Numbers

Definition of Complex Numbers

Loading image

1. Find the number of non-zero integral solutions of the equation


So, is the only integral solution of the given equation.

So, the number of nonzero integral solutions of the given equation is .

2. If , then show that: .


On squaring both sides, we obtain


So, proved.

3. If then find the least positive integral value of .


where is some integer.

So, the least positive integer is .

The least positive integral value of m is .