Q.1 The farthest from Suchitra's house is :
(a) Bank (b) School (c) Shop (d) Office
Answers
Given :
The route of Suchitra has been shown in the Cartesian plane in the figure. The location of Suchitra’s house in Cartesian plane is (0,-4).
To Find : The farthest from Suchitra's house
(a) Bank (b) School (c) Shop (d) Office
Solution:
Suchitra’s house ( 0 , -4)
Bank ( 4 , 10)
Distance = √(4 - 0)² + (10 - (-4))² = √16 + 196 = √212
Suchitra’s house ( 0 , -4)
School ( -8 , 4)
Distance = √(-8 - 0)² + (4 - (-4))² = √84 + 64 = √128
Suchitra’s house ( 0 , -4)
Shop ( 10 , 4)
Distance = √(10 - 0)² + (4 - (-4))² = √100 + 64 = √164
Suchitra’s house ( 0 , -4)
Office ( -12 , 8)
Distance = √(-12 - 0)² + (8 - (-4))² = √144 +144 = √288
√288 > √212 > √164 > √128
Hence The farthest from Suchitra's house is Office
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Answer:
(d) Office
Step-by-step explanation: