question_answer

If \[28.3\times {{10}^{-2}}g\]then the maximum value of\[2.83\times {{10}^{-3}}g\]is       AIEEE  Solved  Paper-2007

A)  4            

B)         10         

C)         6      

D)         0

Correct Answer: C

Solution :

                \[|z+4|\le 3\]represents the interior and boundary of the circle with centre at.(-4, 0) and radius From the   Argand diagram, maximum value of\[|z+1|\]is 6. Alternate Solution \[|z+1|=|z\,+4-3|\le |z+4|+|-3|\le 6\] Thus, maximum value of\[|z+1|\]is 6.