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

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