Questions in 3-d

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The xy-plane divides the line joining the points (–1, 3, 4) and (2, –5, 6)
Under what condition does a straight line $\frac{x-{{x}_{0}}}{l}=$$\frac{y-{{y}_{0}}}{m}=\frac{z-{{z}_{0}}}{n}$ is parallel to the xy-plane
The equation of the plane passing through the line $\frac{x-1}{5}=\frac{y+2}{6}=\frac{z-3}{4}$and the point (4, 3, 7) is
A plane which passes through the point (3, 2, 0) and the line $\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}$is
The ratio in which the line joining the points (2, 4, 5) and (3, 5, –4) is divided by the yz-plane is
The angle between the line $\frac{x}{2}=\frac{y}{3}=\frac{z}{4}$ and the plane $3x+2y-3z=4$is
The line joining the points (3, 5, –7) and (–2, 1, 8) meets the yz-plane at point
The point of intersection of the line $\frac{x-1}{3}=\frac{y+2}{4}=\frac{z-3}{-2}$ and plane $2x-y+3z-1=0$ is
The equation of the plane through the point $(2,-1,-3)$and parallel to the lines $\frac{x-1}{3}=\frac{y+2}{2}=\frac{z}{-4}$ and $\frac{x}{2}=\frac{y-1}{-3}=\frac{z-2}{2}$ is
Equation $a{{x}^{2}}+b{{y}^{2}}+c{{z}^{2}}+2fyz+2gxz+2hxy$ and $+2ux+2vy+2wz+d=0$ represents a sphere, if

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