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Last Updated On [03-11-2023]

If a complex number  lies in the interior or on the boundary of a circle or radius 3 and centre at  then the greatest and least values of  are

a)

b)

c)

d)

None of these


Question ID - 103227 :-

If a complex number  lies in the interior or on the boundary of a circle or radius 3 and centre at  then the greatest and least values of  are

a)

b)

c)

d)

None of these

1 Answer
5876 Votes
3537

Answer Key : (c) -

(c)

It is given that

Hence, the greatest value of  is 6

Since the least value of the modulus of a complex number is zero

 is satisfied by

Therefore, the least value of  is 0

ALITER Here, we have to find the greatest and least of distances of all points lying inside or the circle from the point  It is evident from the Fig. S.3, that the greatest distance is 6 when  coincides with  and the least distance is 0 when  coindies with



Next Question :

If Im , then locus of  is

a)

An ellipse

b)

A parabola

c)

A straight line

d)

A circle


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