If | Z + 4| < OR = 3  then find the greatest and least values of | z +1 |
 
 

Asked by ahuja8087 | 12th Sep, 2015, 01:03: PM

Expert Answer:

G i v e n space t h a t space open vertical bar Z plus 4 close vertical bar less or equal than 3. T h u s comma space open vertical bar Z plus 4 close vertical bar less or equal than 3 space d e n o t e s space s e t space o f space p o i n t s space i n s i d e space a space c i r c l e space w i t h space c e n t r e space open parentheses negative 4 comma 0 close parentheses space a n d space r a d i u s space 3. T h e r e o f r e comma space open vertical bar Z plus 1 close vertical bar space d e n o t e s space t h e space d i s tan c e space o f space P open parentheses Z close parentheses space f r o m space A open parentheses negative 1 close parentheses. T h e space m i n i m u m space a n d space m a x i m u m space d i s tan c e s space a r e space f o u n d space a l o n g space t h e space d i a m e t e r space p a s sin g space t h r o u g h space A. open vertical bar Z plus 1 close vertical bar subscript m i n i m u m end subscript equals 0 space w h e n space z equals negative 1 space a n d open vertical bar Z plus 1 close vertical bar subscript m a x i m u m end subscript equals 6 space w h e n space z equals negative 7. space

Answered by Vimala Ramamurthy | 14th Sep, 2015, 12:13: PM