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Plot the lines: (a) 3x+2y=0, (b) x-3y+6=...

Plot the lines: (a) `3x+2y=0`, (b) `x-3y+6=0`

Text Solution

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a. `3x+2y=0`
b. `x-3y+6=0impliesy=x/3+2`
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Find the angle between the lines x+3y-8=0 and 2x-3y+6=0 .

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Find the orthocenter of the triangle formed by the lines x + 2y = 0, 4x + 3y - 5 =0, 3x + y = 0 .

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Knowledge Check

  • The area of the parallelogram formed by the lines 2x-3y+a=0, 3x-2y-a=0, 2x-3y+3a=0 and 3x-2y-2a=0 in square units , is

    A
    `(a^(2))/(5)`
    B
    `(2a^(2))/(5)`
    C
    `(3a^(2))/(5)`
    D
    none of these

  • The joints equation of the lines 3x-2y+5=0 and 5x-3y=0 is

    A
    `15x^(2)-19xy+6y^(2)-25x-15y=0`
    B
    `15x^(2)-19xy+6y^(2)+25x-15y=0`
    C
    `15x^(2)-xy+6y^(2)+25x-15y=0`
    D
    `15x^(2)+xy+6y^(2)+25x-15y=0`

  • The lines x+2y-5=0, 2x-3y+4=0,6x+4y-13=0

    A
    are concurrent
    B
    form a right angled triangle
    C
    form an isosceles triangle
    D
    form an equilateral triangle.