# NCERT Mathematics Class 10 Exemplar Ch 7 Coordinate Geometry Part 5

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15. The line segment joining the points and is divided at the point P in the ratio and it lies on the line . Find the value of k.

Answer: 19

16. If , and are the midpoints of sides of Δ ABC, find the area of the Δ ABC.

Answer: 11

17. The points , and are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of ΔABC.

Answer: , Area = 6 sq. unit

18. Find the coordinates of the point R on the line segment joining the points and such that .

Answer:

19. Find the values of k if the points , and are collinear.

Answer: ,

20. Find the ratio in which the line divides the line segment joining the points and . Also find the coordinates of the point of division.

Answer: , ,