The intercept made by the plane 2x–3y+5z+4=0 on z-axis is:

​What are the coordinates of the image of the point (2, 3) in the line (where line acts like a mirror) x + 3y = 5? ​

The coordinates of a point dividing the line segment joining (3, 4, 5) and (1, 3, 6) externally in the ratio 3 : 1 are:

Find parametric equations of the line that passes through the points A (2, 4, −3) and B (3, −1, 1).

Find the magnitude of the shortest distance between the lines $$\frac{x-0}{2}=\frac{y-0}{-3}=\frac{z-0}{1} \text {and} \frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2} .$$​

The lines 

​$$\frac{x}{1} = \frac{y}{2} = \frac{z}{3} \quad \text{and} \quad \frac{x - 3}{-3} = \frac{y - 4}{-6} = \frac{z - 5}{-9} \quad \text{are:}$$​​

​What are the coordinates of the image of the point (2, 3) in the line (where line acts like a mirror) x + 3y = 5? ​

The coordinates of a point dividing the line segment joining (3, 4, 5) and (1, 3, 6) externally in the ratio 3 : 1 are: