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If y = (a+bx^(3/2))/x^(5/4) & (dy)/(dx) ...

If `y = (a+bx^(3/2))/x^(5/4) & (dy)/(dx)` vanishes when `x = 5` then `a/b` is

A

`sqrt(3)`

B

2

C

`sqrt(5)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If y = 5^(x) x^(5) , " then" (dy)/(dx) is

    A
    ` 5^(x) (x^(5)log 5 - 5x^(4))`
    B
    ` 5^(x)log 5 - 5x^(4)`
    C
    ` 5^(x)log 5 + 5x^(4)`
    D
    ` 5^(x)(x^(5)log 5 + 5x^(4))`

  • If y= e^(5x^(2) -x+3) ,then (dy)/(dx) =

    A
    ` (5x -1) e^(5x^(2) -x+3)`
    B
    ` (5x^(2) -1) e^(5x^(2) -x+3)`
    C
    ` (10x^(2) -1) e^(5x^(2) -x+3)`
    D
    ` (10x -1) e^(5x^(2) -x+3)`

  • If y=cos (x^(3)) sin ^(2) (x^(5)),then (dy)/(dx) =

    A
    ` 5x^(4)sin (x^(3))sin (2x^(5))-3x^(2) cos (x^(3))sin ( x^(5))`
    B
    ` 5x^(4)sin (x^(3))sin (2x^(5))+ 3x^(2) cos (x^(3))sin ( x^(5))`
    C
    ` 5x^(4)sin (x^(3))sin (2x^(5))- 3x^(2) sin (x^(3))sin^(2) ( x^(5))`
    D
    ` 5x^(4)sin (x^(3))sin (2x^(5))+ 3x^(2) sin (x^(3))sin^(2) ( x^(5))`

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