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The point (x,y) lie on line 2x+3y=6. The...

The point (x,y) lie on line 2x+3y=6. The smallest value of the quantitly `sqrt(x^2+y^2 " is m. The the value of " sqrt13m` is _______

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Knowledge Check

  • If the normal to the curve x^3-y^2=0 at (m^2,-m^3) is y=mx-2m^3 , then the value of m^2 is

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

  • For all real values of m' the straight line y=mx + sqrt(9m^(2)-4) is a tangent to the curve

    A
    `9x^(2)+4y^(2)=36`
    B
    `4x^(2)+9y^(2)=36`
    C
    `9x^(2)-4y^(2)=36`
    D
    `4x^(2)-9y^(2)=36`

  • The point on the line x+y+3=0 whose distance from x+2y+2=0 is sqrt(5) is

    A
    (6, 9)
    B
    (-6, 9)
    C
    (9, 6)
    D
    (-9, 6)

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    If x= (sqrt3+sqrt2)/(sqrt3-sqrt2) then the value of x+y is

    The lines x-y-2=0,x+y-4=0,x+3y=6 meet at the point

    The lines x-y-2=0,x+y-4=0 and x+3y=6 meet at the common point

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