Question

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

QUESTION :-

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

SOLUTION :-

=> Finding mid -point of AC.

=> We have to find x co-ordinate of O.

=> x co-ordinate = x1+x2/2

=> where,

=> x1 = 6 , x2 = 9

=> .°. x co-ordinate of O= 6+9/2 = 15/2 --------(1)

=> Finding mid -point of BD.

=> we have to find x co-ordinate of O.

=> x co-ordinate = x1+x2/2

=> where,

=> x1=8 , x2 = p

=> .°. x co-ordinate of O= 8+p/2---------(2)

=> comparing (1) & (2)

=> 15/2 = 8+p/2

=> 15 =8 + p

=> p = 15-8

=> p = 7

HENCE, THE VALUE OF P IS 7.

Answer 2

Here your answer user.