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If x ( x + y + z) = 20 , y ( x + y + z)...

If `x ( x + y + z) = 20 , y ( x + y + z) = 30 and z ( x + y + z) = 50 ` the vaue of 2 (x + y + z) is

A

`-10`

B

15

C

18

D

20

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) The value of C(1, 2, 3) is :

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  • A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) The value of D(0, 1, 2) is :

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    `-1
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    1
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  • A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) C(x, y, z)=" max"(A(x, y, z), B(x, y, z)) D(x, y, z)=" min "(A(x, y, z), B(x, y, z)) What is the value of A(2, 3, 4)+B(2, 3, 4) ?

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