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Show that the lines whose d.c's are give...

Show that the lines whose d.c's are given by l + m + n = 0,2mn + 3nl - 5ln = 0 are perpendicular to each other.

Answer

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Similar Questions

Explore conceptually related problems

Show that the lines whose direction cosines are given by l+ m + n = 0 , 2mn+ 3nl - 5lm = 0 are perpendicular to each other .

Show that the lines whose direction cosines are given by l+m+n=0 , 2mn+3nl-5lm=0 are perpendicular to each other .

Knowledge Check

  • The line whose direction cosines are given by the relations a l+bm+ cn=0 and mn+lm=0 are

    A
    perpendicular if `(1)/(a) + (1)/(b) + (1)/(c ) 0`
    B
    perpendicular if `sqrta + sqrt b + sqrt c=0`
    C
    parallel if `(1)/(a) + (1)/(b) +(1)/(c ) =0`
    D
    parallel if `a+ b+ c=0`

  • If the direction ratios of two lines are given by 3lm - 4ln + mn = 0 and l + 2m + 3n = 0 , then the angle between the lines , is

    A
    `pi/6`
    B
    `pi/4`
    C
    `pi/6`
    D
    `pi/2`

  • If the direction rations of two lines are given by 3lm-4ln+mn = 0 and l + 2m + 3n = 0 then the angle between the lines is

    A
    `(pi)/(2)`
    B
    `(pi)/(3)`
    C
    `(pi)/(4)`
    D
    `(pi)/(6)`

    • Similar Questions

    Explore conceptually related problems

    Find the angle between the lines whose d.c's are related by l + m + n = 0 & l^(2) + m^(2) - n^(2) = 0

    Find the angle between the lines whose direction cosines are given by the equation 3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

    Find the angle between the lines whose direction cosines are given by the equation 3l + m + 5n = 0 and 6mn - 2nl + 5lm = 0

    Find the angle between the lines whose direction cosines are given by the equation 3l+ m + 5n = 0 and 6mn - 2nl +5lm = 0

    The lines whose direction cosines are given by the relations al+bm+cn=0 and mn+nl+lm=0 are

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