Question

If the point A(6,1) ,B(8,2) ,C (9,4) D (p,3) are the vertices of a parallelogram are ,taken in order find the value of p

Answer 1

Answer:

value of p = - 3

Step-by-step explanation:

the diagonals of a parallelogram bisect each other

  ∴ mid points of diagonal AC   = mid point of diagonal BD

 {   ( 6+9) /2  ,  (1+4)/2  }              = {  ( 8 +p) /2  ,  ( 2 + 3) /2 }

   (15/2 , 5/2 )         ={ (8+p) /2  ,  5/2 )  }

on equating the co-efficients  

(8+p) / 2     =  5/2

8 +p  = 5

    p = 5 - 8

      = -3