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STATEMENT-1 : If x is positive , then ...

STATEMENT-1 : If x is positive , then least value of ` x^(12) + (4)/(x^(2)) + (4)/(x) ` is 9.
STATEMENT-2 : If ` a^(2) + b^(2) + c^(2) = 4 , x^(2) + y^(2) + z^(2) = 9 ` then maximum value of ` ax + by + cz ` is 6
STATEMENT-3 : ` 2 + (3)/(2^(2)) + (4)/(2^(3)) + ......"upto" oo = 4 ` .

A

F T F

B

T T F

C

T T T

D

F F T

Text Solution

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The correct Answer is:
3
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Knowledge Check

  • If x , y, z in R, x + y + z= 4 and x^(2) + y^(2) + z^(2) = 6 , then the maximum possible value of z is

    A
    1
    B
    2
    C
    `(3)/(2)`
    D
    `(4)/(3)`

  • If a ^(2) + b ^(2) + x ^(2) = 16, x ^(2) + y ^(2) + z^(2) = 25 and ax + by + cz = 20 then the value of (a + b + c)/( x + y + c)

    A
    `3/5`
    B
    `5/3`
    C
    `4/5`
    D
    `5/4`

  • If 8x^(2) + y^(2) - 12x - 4xy + 9 = 0 , then the value of (14x - 5y) is :

    A
    9
    B
    6
    C
    5
    D
    3

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    If x = 2 and y = -3, then the value of 4x^(2) + 9y^(2) + 12xy is :

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