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Find the equation of a line which pas...

Find the equation of a line which passes through the point `(2,3,4)` and which has equal intercepts on the axes.

Text Solution

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Since line has equal intercepts on axes, it is equally inclined to axes.
`rArr" "` Line is along the vector `a(hati+hatj+hatk)`
`rArr" "` Equation of line `=(x-2)/(1)=(y-3)/(1)=(z-4)/(1)`
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Knowledge Check

  • Find the equation of the straight line which passes through the point (3,4) and has intercepts on the axes such that their sum is 14 :

    A
    a. 4x+3y=24
    B
    b. x+y=7
    C
    c. 3x+7y=43
    D
    d. both (a) and (b)

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