Question

In map of a town the houses of Kamala and Vimala are equidistance from their houses. The

coordinates of Kamala and Vimala are (3,4) and (5,6) respectively, then

coordinates of school …….

A) (3,6) B) (3,5) C) 4,5) D) (4,6)​

Answer 1

Given :   In map of a town the houses of Kamala and Vimala are equidistance from their School . The  coordinates of Kamala and Vimala are (3,4) and (5,6)  

To find :   coordinates of school

Solution:

Let say Coordinate of school are (x , y)

Distance of School = from Kamala & Vimla house

( 3, 4)  & ( 5 , 6)  

=> (x - 3)² + ( y - 4)²  = (x - 5)² + ( y - 6)²

=> x² - 6x + 9 + y² - 8y + 16 = x² - 10x + 25 + y² -12y  + 36

=>   4x + 4y  = 36

=>    x  +  y  = 9

3 + 6  = 9   ( 3 , 6) can be coordinate of school

4 + 5 = 9   ( 4. 5) Can also be coordinate of School

coordinates of school  can be  (3,6)   or  4,5)

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