Question

if for real no. x, y, z ( x, y, z not equal to zero), x ^ 12 + y ^12 + z^ 12/ (xyz)^4= 3, then the correct opition is

Answer 1

Answer:

Correct option is

B

216

Given,

x+y+z=12

And, x

3

y

4

z

5

=60×600×600

Factorize it

x

3

y

4

z

5

=6

3

×10

5

=2

3

×3

3

×2

5

×5

5

=2

8

×3

3

×5

5

=3

3

×4

4

×5

5

So, we can say that x=3,y=4 and z=5

Hence, x

3

+y

3

+z

3

=27+64+125=216