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Q.

Aayush starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter's school and then reaches the office. What is the extra distance travelled by Aayush in reaching the office if the house is situated at (2,4), bank at (5,8), school at (13,14) and office at (13,26 and the coordinates are in kilometers? (Assume that all distances covered are in straight lines).


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a

2.4km  

b

1km  

c

4km  

d

5 km   

answer is A.

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Detailed Solution

It is given that
House is situated at H 2,4  , bank is situated at B 5,8  , school is at S 13,14   and office is at O 13,26  .
Then,
Question Image.
We know that,
The distance between any two points in a Cartesian plane M a,b ,N c,d   is given by MN= (ca) 2 + (db) 2  .
Then,
 Question Image Then,
Extra distance travelled by Aayush to reach his office is
HB+BS+SOHO =5+10+1224.6 =2.4km   Therefore, extra distance travelled by Aayush to reach his office is 2.4km  .
Hence, option (1) is correct.
 
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