Minimum and maximum value

If x,y,z R such that x2+y2+z2=1 and α=x2+2y2+3z2,then find minimum and maximum value of α

4 Answers

62
Lokesh Verma ·

this is same as maximising or minimizing

z2-x2+2

(now can you solve this :) ?

1
champ ·

Could not do it
:-(

62
Lokesh Verma ·

By simple reasoning first show that for maxima or minima, y=0

Maxima will be 3

Minima will be 1

1
champ ·

:-(

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