Questions in 3-d

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The point of intersection of lines $\frac{x-4}{5}=$ $\frac{y-1}{2}=\frac{z}{1}$ and $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ is
Direction ratios of two lines are a, b, c and $\frac{1}{bc},\frac{1}{ca},\frac{1}{ab}$. The lines are
The angle between the lines whose direction cosines are proportional to (1, 2, 1) and (2, –3, 6) is
Direction ratios of the line represented by the equation $x=ay+b,$ $z=cy+d$ are
The equation of a line passing through the point (–3, 2, – 4) and equally inclined to the axes, are
The co-ordinates of the foot of perpendicular drawn from the origin to the line joining the points (–9, 4, 5) and (10, 0, –1) will be
The symmetric equation of lines $3x+2y+z-5=0$ and $x+y-2z-3=0$, is
The angle between the lines whose direction cosines satisfy the equations $l+m+n=0$, ${{l}^{2}}+{{m}^{2}}-{{n}^{2}}=0$ is given by
The equation of straight line passing through the points (a, b, c) and (a – b, b– c, c – a), is
The equation of straight line passing through the point (a, b, c) and parallel to z- axis, is

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