7-dividing a line segment to a given ratio

Two points A and B have the following coordinated (2,2) and (10,8) respectively.

Find the coordinates that divide the line segment in the ratio of 2:3?

6-midpoint of a line segment

Two points A and B have the following coordinated (2,2) and (10,8) respectively.

Find the midpoint of the line segment?

5-forming equation of straight line

Two points A and B have the following coordinated (2,2) and (10,8) respectively.

Form the equation of straight line passing through these 2 points?

4- coordinate geometry -distance between two points

Two points A and B have the following coordinated (2,2) and (10,8) respectively.

Find the length of the line segment?

3-coordinate geometry ICSE 1996

Write down the equation of the line whose gradient is 3/2 and which passes through P, where P divides the line segment joining A(-2, 6) and B(3,-4) in the ratio 2:3.

2-coordinate geometry ICSE 2004

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1-equation of straight line - ICSE 2003

Find the value of k for which the lines kx – 5y + 4 =0 and 
4x – 2y + 5 =0 are perpendicular to each other.                       
 ICSE 2003

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