Image of origin with respect to plane $x + y + z = 3$ is:

The equation of the plane, parallel to the plane $3x + 4y - 12z = 3$ and passes through $(1, 1, -1)$, is :

The reflection of the point $(\alpha, \beta, \gamma)$ in the xz plane is

If the lines $\frac{1-x}{3} = \frac{3y-6}{k} = \frac{3-z}{-2}$ and $\frac{1-x}{2k} = \frac{y-5}{3} = \frac{6-z}{5}$ are perpendicular to each other, then $k$ is equal to

The shortest distances of the point $(1, 2, 3)$ from $x$, $y$, $z$ axes respectively are

If a line makes angles $\alpha, \beta, \gamma$ with the positive directions of $x$-axis, $y$- axis and $z$-axis respectively, then $sin^2 \alpha + sin^2 \beta + sin^2 \gamma$ is equal to

The angle between 2 planes $4x + 8y + z - 8 = 0$ and $y + z - 4 = 0$ is :