CBSE Class 10 Maths (Basic) 2020 · Paper 430/3/1 · Question 33

Coordinate Geometry 3 marks Hard

In Fig. 3, arrangement of desks in a classroom is shown. Ashima, Bharti and Asha are seated at

A

B

and

C

respectively. Answer the following :

(i)Find whether the girls are sitting in a line.
(ii)If $A$ , $B$ and $C$ are collinear, find the ratio in which point $B$ divides the line segment joining $A$ and $C$ .

Seating positions on a grid: A(3,1), B(6,4), C(8,6) on a 10×10 grid of rows vs columns (Fig. 3)

Answer

(i) Yes —

A

B

C

are collinear (the girls are sitting in a line). (ii)

B

divides

A C

in the ratio

3 : 2

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