Find the area of triangle formed by lines 4x-6y=24

Find the Perpendicular distance between two lines

6x + 8y = 18, 12x + 16y =20

Find the coordinates of the centroid of the triangle with vertices A(1, 2), B(4, 6), and C(7, 8).

Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.

A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.

If points A(–2, 3) and B(4, –3) are ends of a diameter, find equation of the circle.

Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?

In a race A beats B by 120m. B beats C by 260m and A beats C by 300m what is the length of race?

The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)

The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.

If two parallel lines are intersected by a transversal, then which of the options below is not necessarily correct?