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If (xy) is a variable point on the line ...

If (xy) is a variable point on the line y=2x lying between the line 2(x+1)+y=0 and x+3(y-1)-0, then

A

`x in (-1//2,6//7)`

B

`xin(-1//2,3//7)`

C

`xin(-1,3//7)`

D

`xin(-1,6//7)`

Text Solution

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The correct Answer is:
B, D
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Knowledge Check

  • If a straight line passes through the point (-5,4) and makes an intercept of length 2/sqrt(5) between the lines x+2y+1=0 and x+2y -1 =0 , then equation of that line is

    A
    5x+6y+1=0
    B
    2x+3y-2 =0
    C
    3x+4y-1 =0
    D
    2x-y +14 =0
  • The equation of line midway between the lines 2x-y+3=0,y=2x-4 and parallel to them is

    A
    `4x-2y=1`
    B
    `4x-2y+1=0`
    C
    `3x-4y-1=0`
    D
    `4x-2y+3=0`
  • Equation of the line of shortest distance between the lines (x)/(1) =(y)/(-1) =(z)/(1) and (x-1)/(0) =(y+1)/(-2) =(z)/(1) is

    A
    ` (x)/(1) =(y)/(-1) =(z)/(2)`
    B
    `( x-1)/(1) = ( y+1)/(-1) -(z)/(-2) `
    C
    ` (x-1)/(1) =(y+1)/(1) =(z)/(1) `
    D
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