Question

Q 31 . A school launched a 'go green campaign' in a city. Each of its student is asked to plant three saplings. Tanya and Vedika planted trees in a rectangular land as shown in fig. (Vi indicates saplings planted by Vedika whereas Ti By Tanya). Both argue that their saplings are in straight line. Find out who is correct in judging straightness of saplings?

Answer 1

Tanya is correct in judging straightness of saplings.

1. The points marked by Vedika are V1(-4,4),V2 (-2,3), and V3(8,2).

2. Now find the slope of V1V2

Slope of V1V2=(3-4)/(-2+4)= -1/2

similarly find the slope of V2V3

slope of V2V3=(2-3)/(8+2)= -1/10

As both slopes aren't equal they don't lie in a straight line

3.The points marked by Tanya are T1(3,5),T2 (1,1), and T3(-2,-5).

4. Now find the slope of T1T2

Slope of T1T2=(1-5)/(1-3)= 2

similarly find the slope of T2T3

slope of T2T3=(-5-1)/(-2-1)= 2

As both slopes are equal they lie in a straight line.

So, Tanya is correct in judging straightness of saplings.