In this question the answer is option A . Instead of zero it will be 25 why they replaced it?

Asked by Vineeth K | 31st May, 2016, 03:31: PM

Expert Answer:

begin mathsize 12px style F o r space m a x i m u m space v a l u e space o f space left parenthesis a plus b right parenthesis squared comma space w e space t a k e
m a x i m u m space p o s i t i v e space v a l u e s space o f space a space a n d space b
S i n c e space a space less than thin space 4 space a n d space b space less than space 2
open parentheses a plus b close parentheses squared less than space open parentheses 4 plus 2 close parentheses squared
rightwards double arrow open parentheses a plus b close parentheses squared less than 36

N o w comma space f o r space m i n i m u m space v a l u e space o f space t h e space s q u a r e space t e r m comma space

w e space h a v e space t o space c h o o s e space apostrophe a apostrophe space a n d space apostrophe b apostrophe space s u c h space t h a t space t h e i r space s u m space i s space c l o s e space t o space z e r o.
H e r e comma space b o t h space apostrophe a apostrophe space a n d space apostrophe b apostrophe space c a n space t a k e space t h e space v a l u e space apostrophe 0 apostrophe comma space w h i c h space g i v e s
left parenthesis a plus b right parenthesis squared equals 0. space H e n c e comma space t h a t space i s space t h e space l e a s t space v a l u e.

I f space y o u space t a k e space l o w e r space b o u n d s space o f space apostrophe a apostrophe space a n d space apostrophe b apostrophe space minus 3 space a n d space minus 2 comma
y o u space g e t space open parentheses negative 5 close parentheses squared equals 25. space B u t space t h i s space i s space n o t space t h e space l e a s t space v a l u e space o f space left parenthesis a plus b right parenthesis squared.
B e c a u s e space a s space w e space s a w comma space i t space c a n space b e space apostrophe 0 apostrophe space a s space w e l l. space T o space f i n d space t h e space r a n g e comma space
w e space h a v e space t o space f i n d space a l l space t h e space v a l u e s space left parenthesis a plus b right parenthesis squared space c a n space t a k e.
S o space i t space h a s space t o space b e space 0 less or equal than open parentheses a plus b close parentheses squared less than 36 end style

Answered by satyajit samal | 1st Jun, 2016, 10:37: AM