A line passing through the origin perpendicularly cuts the line 3x – 2y = 6 at point M. Find the co-ordinates of M. 

What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)? 

If (2, 0) is a solution of the linear equation 2x + 3y = 5, then the value of k is: 

Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3 ) and C are (4 , y). What is the value of y ? 

The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is : 

The graph of 3x + 4y - 24 = 0 forms a triangle OAB with the coordinate axes, where O is the origin. Also, the graph of x + y + 4 = 0 forms a triangle OCD with the coordinate axes. Then the area of ∆ OCD is equal to: 

For what value of k, the system of equations kx + 2y = 2 and 3x + y = 1 will be coincident? 

Find the area of quadrilateral formed by joining points (4,2), (8,2), (8,14) and (4,10).