Question

Section-E
Q&
Layout Plan of Science City
bot
Dinosaurs
9th class students went to the science city. Ramesh, Satinder Singh, John
and Irfan were made group leaders of four teams by their teachers. Out
of four teams Ramesh's team went to Dome theatre, Satinder's team is at
Dino Park, John's team is at Science Explorium. Irfan's team is still at
the ticket counter
Q(1). Can you tell the coordinates of position of all the four groups from
given layout plan of science city? Write the coordinates. (Imark)
Mathematics -Class-IX
Q(ii). Irfan's team is still at the ticket counter and they want to reach
kids park. What is the shortest distance that they can travel? (One unit-
100m)
(2 marks)
(Hint: -use property of right angles triangle and Pythagoras theorem)
Q(ii). After enjoying at Science Explorium John's team went to Energy
park. What shortest distance they covered? (One unit= 100m) (1mark)
Q(iv). Location of bus parking is reflection of location of car parking in
y-axis. Find two locations which are exact reflection of each other in x-
(1mark)
axis​

Answer 1

Answer:

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Answer 2

Given : Layout plan of science city , (One unit= 100m)

To find : coordinates of position of all the four groups

shortest distance traveled from ticket counter  to kids park.

shortest distance from Science Explorium, to Energy park

locations which are exact reflection of each other in x-axis.

Solution:

Irfan's team is at ticket counter (0,0)

Ramesh's team is at Dome theatre ( 3 , 1)

Satinder's team is at  Dino Park (-3 , 2)

John's team is at Science Explorium. ( 1, 4)

. Irfan's team is at ticket counter (0,0)

want to reach kids park.  (2 , 2)

minimum distance = √(2 - 0)² + (2-0)²  = 2√2 units

1 unit= 100m

Hence shortest distance to travel for irfan team from ticket counter to kids parks = 2√2 * 100  = 200√2 m

Science Explorium,  ( 1, 4)

Energy park = (-2.4)

Distance = √(-2 - 1)² + (4-4)²  = 3 units

1 unit= 100m

shortest distance  covered by john's team from science explorium to energy park = 3 * 100  = 300 m

Location of Car parking (3 , -1) & Dome theater ( 3, 1) are exact reflection of each other in x-axis

(3,-1 )   &  ( 3 , 1)

in reflection of x -axis x axis remain same and y axis sign changes

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