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If the cubic polymomial y = ax ^(3) + bx...

If the cubic polymomial `y = ax ^(3) + bx^(2) +cx+ d (a,b,c,d inR)` has only one critical point in its entire domain and `ac=2,` then the value of `|b|` is:

A

`sqrt2`

B

`sqrt3`

C

`sqrt5`

D

`sqrt6`

Text Solution

Verified by Experts

The correct Answer is:
D
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VIKAS GUPTA (BLACK BOOK)-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  16. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

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  17. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

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  19. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

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  20. The number of normals to the curve 3y ^(3) =4x which passes through th...

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  21. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

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