MathematicsState true or false.The houses of Sudhir and Ashok are located at 7,3  and  4,4   respectively. Their office is located at 2,2  . If they leave their houses at the same time in the morning and also reach office in time, Sudhir travels faster.

State true or false.


The houses of Sudhir and Ashok are located at 7,3  and  4,4   respectively. Their office is located at 2,2  . If they leave their houses at the same time in the morning and also reach office in time, Sudhir travels faster.


  1. A
    True
  2. B
    False 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Given that, the location of Sudhir and Ashok houses are at 7,3  and  4,4  .
    Their office is in (2, 2).
    We shall first calculate the distance between the locations.
    The distance formula between two points ( x 1 , y 1 ),( x 2 , y 2 )   is given by,
    d= x 2 x 1 2 + y 2 y 1 2  
    Distance between Sudhir's house and office.
    Here,
    ( x 1 , y 1 )=(7,3) ( x 2 , y 2 )=(2,2)  
    D= (27) 2 + (23) 2 = 25+1 = 26  units   Distance between Ashok’s house and office:
    Here,
    ( x 1 , y 1 )=(4,4) ( x 2 , y 2 )=(2,2)  
    Distance between Ashok's house and office is given by,
    Since, they are taking same time, but the distance for Sudhir > the distance for Ashok. But they reach office at the same time.
    So, Sudhir travels faster.
    Hence, the statement is true.
    Hence, option 1 is correct.
     
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.