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Let (x0,y0) be the solution of the follo...

Let `(x_0,y_0)` be the solution of the following equations
`(2x)^(In2)=(3y)^(In3)` `3^(Inx)=2^(Iny)`, then `x_0` is

A

`1/6`

B

1/3`

C

`1/2`

D

6

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Knowledge Check

  • Find the value of x_0 , if (x_0,y_0) be the solution of the following equations (2x)^(In2)=(3y)^(In3),3^(Inx)=2^(Iny)

    A
    `1//6`
    B
    `1//3`
    C
    `1//2`
    D
    6

  • Let (x_(0),y_(0)) be the solution of the equation (2x)^(log2)=(3y)^(log3) and 3^(logx)=2^(logy) . Then x_(0) is

    A
    `(1)/(3)`
    B
    `(1)/(6)`
    C
    `(1)/(2)`
    D
    `6`

  • The solution of the differential equation (2x-4y+3)(dy)/(dx)+(x-2y+1)=0 is

    A
    log [ (2x - 4y)+3] = x - 2y+c
    B
    log [2(2x-4y)+3]=2(x-2y)+c
    C
    log[2(x-2y)+5]=2(x+y)+c
    D
    log[4(x-2y)+5]=4(x+2y)+c

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