For what value of 'm ' the points A ( m + 1 , 1 ) , B ( 2m + 1,3 ) and C ( 2m + 2 , 2m ) are collinear . 

What will be the area of thé trapezium formed by x - axis , y - axis , and lines 3x + 12 , 6x + 8y = 60 ? 

The graphs of the equations 3x + y-5=0 and 2x- y -5=0 intersect at the point P(α,β).  What is the value of (3α + β)?

The graph of the equation 4x - 5y = 20 intersects the X-axis at the point.

If a line has one end (4,0) and the middle point (4,1), what will be the directions at the other end of the line?

Find the coordinates of the midpoint of the line joining the points (10,12) and (0,8).

Find the coordinates of the point which divides the line segment joining (3,5) (7,9) in the ratio 2: 3.

Find the distance between the point (-6, 7) and the point (-1, -5).