Question

Passage - 1
A group of students named Ria, Emma, Anna, Krish and Sahil are gathered around in the school library, in their library period. The coloured plot points on the coordinate plane shown in the above image indicates the dots where each book is available. Considering point O as the origin. The books with respect to colours are: Science guide - Violet, Maths guide - Light Green, English guide - Black, History guide - Orange and Sanskrit guide - Dark green.

How much distance does Emma has to walk to get the Science guide, if her

starting point is (0,2) ?


(1)5 units towards positive y axis

(2)5 units towards negative x axis

(3)5 units towards positive x axis

(4)none
​

Answer 1

Answer:

none

Step-by-step explanation:

2 units towards X axis

Answer 2

Emma has to walk 5 units in negative x- axis

Step-by-step explanation:

Given ,

=> The colours of books are given as :

Science guide - Violet

Maths guide - Light Green

English guide - Black

History guide - Orange

Sanskrit guide - Dark green

=> From the image writing the coordinates of the books :

Science guide : (-5,2)

Maths guide : (4,3)

English guide : (-3,-3)

History guide : (1,1)

Sanskrit guide : (6,- 5)

=> Given that Emma is at (0,2) and she has to reach to the science guide which is at (-5,2)

So to reach to the science guide Emma has to travel in negative x direction.

The distance which she has to travel will be,

d = $\sqrt{(x_{2} - x_{1} )^{2} + (y_{2}- y_{1} )^{2} }$

$d= \sqrt{(-5 -0 )^{2} + (2- 2 )^{2} }\\d = \sqrt{(-5)^{2} + 0 }\\ d = \sqrt{25}\\ d= 5 units$

∴ Emma has to walk 5 units towards negative x direction.

(The image was not mentioned in the question. I have attached the image with the question)