MathematicsState True/ False:If P(5,−3)   and Q(3,y)   are the points of trisection of the line segment joining A(7,−2)   and B(1,−5),   then the value of ‘y’ is 4.

State True/ False:


If P(5,3)   and Q(3,y)   are the points of trisection of the line segment joining A(7,2)   and B(1,5),   then the value of ‘y’ is 4.


  1. A
    True
  2. B
    False  

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    Solution:

    Given that,
    and are the points of trisection of the line segment joining and Using the formula and substituting the values,
    x= m 1 x 2 + m 2 x 1 m 1 + m 2 x= 2 1 +1 7 2+1 x= 9 3 x=3  
    Calculating the value of y,
    y= m 1 y 2 + m 2 y 1 m 1 + m 2 y= 2 5 +1 2 1+2 y= 10+ 2 3 y=4   Q= 3,4  
    Therefore, the value of y is 4  .
    Thus, the given statement is false.
    Hence, option 2 is correct.
     
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