Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

If a,b and c are positive real numbers such that abc=1,then the minimum value of a 3 +b 3 +c 3 +a 2 (b+c)+b 2 (a+c)+c 2 (a+b) is a.1 b.9a 2 b 2 c 2 c.6 d.none of these

If a,b and c are positive real numbers such that abc=1,then the minimum value of a3+b3+c3+a2(b+c)+b2(a+c)+c2(a+b)


is


a.1


b.9a2b2c2


c.6


d.none of these

Grade:12th Pass

3 Answers

jitender lakhanpal
62 Points
9 years ago

Dear Menka Malguri,

just check the attachement

 

We are all IITians and here to help you in your IIT JEE preparation.

Now you can win by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar : Click here to download the toolbar.. 

jitender

askiitians expert 

1936_36248_minimum value.JPG

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Menka,

 

Us AM-GM inequality (on the 9 terms, in the question)

You will get, the minimum value of the expression to be 9.

 

Hence Option (B).

 

Best Regards,

Ashwin (IIT Madras).

ankitesh gupta
63 Points
8 years ago

 

PLZZZZZZZZZZZZZZZZZZZZ APPROVE THE ANSWER IF IT REALLY HELPED YOU BY CLICKING THE YES BUTTON...............................Smile

402_74742_A.jpg

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free