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In the two dimensional plane, prove by u...

In the two dimensional plane, prove by using vector methods, the equation of the line whose intercepts on the axes are a and b is `x/a+y/b=1`.

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Find the equation of the plane having intercepts 1,2,-3 on the axes.

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Knowledge Check

  • The equation of the line having intercepts a, b on the axes such that a+b=5, ab=6 is

    A
    `x+y=5`
    B
    `3x+2y-6=0, 2x+3y-6=0`
    C
    `x-3y-3=0, 3x-y+3=0`
    D
    `2x+10y-5=0, 10x+2y-5=0`
  • The equation of the having intercepts a,b on the axes such that a+b=2,ab=-3 is

    A
    `x+y=5`
    B
    `3x+2y-6=0,2x+3y-6=0`
    C
    `x-3y-3=0,3x-y+3=0`
    D
    `2x+10y-5=0,10x+2y-5=0`
  • The equation of the line whose x-intercept is 2//5 and which is parallel to 2x-3y+5=0 is

    A
    `2x-5y+4=0`
    B
    `10x-15y-4=0`
    C
    `28x-21y+12=0`
    D
    `20x+12y+9=0`
  • Similar Questions

    Explore conceptually related problems

    Find the equation of the plane having intercepts 1, 2, -3 on the axes.

    Find the equation of the plane whose intercepts on X, Y, Z axes are 1,2,4 respectively.

    Find the equation of the plane. Whose intercepts on X, Y, Z - axis are 1, 2, 4 respectively.

    Find the equation of the plane which makes intercepts 2,3,4 on the x,y,z-axes respectively.

    Find the equation of the plane which makes intercepts 1,2,4 on the x,y,z - axes respectively.