00:00:35 Miscellaneous Exercise Question 14

In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line x + y = 4?

00:06:36 Miscellaneous Exercise Question 15

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0.

00:19:16 Miscellaneous Exercise Question 16

Find the direction in which a straight line must be drawn through the point (–1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.

00:30:06 Miscellaneous Exercise Question 17

The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (– 4, 1). Find an equation of the legs (perpendicular sides) of the triangle.

00:42:46 Miscellaneous Exercise Question 18

Find the image of the point (3, 8) with respect to the line x +3y = 7 assuming the line to be a plane mirror.

00:56:16 Miscellaneous Exercise Question 19

If the lines y = 3x +1 and 2y = x + 3 are equally inclined to the line y = mx + 4, find the value of m.