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A straight line passing through O(0, 0) ...

A straight line passing through O(0, 0) cuts the lines `x = alpha , y = alpha` and x + y = 8 at A, B and C respectively such that `OA. OB. OC = 48sqrt 2` and `f(alpha , beta ) tl= 0`
where f(x, y) `= |y/2 - 3/2 | + (3x - 2y)^6 + sqrt(ex + 2y - 2e - 6) `
Find the value of (OA + OB + OC)

A

`7sqrt2`

B

`8 sqrt2`

C

`9 sqrt2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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