Question

3. Find the value of * (1 Point) a) l b)0 c) 100 d) a​

Answer 1

Answer:

Consider the given points A(1,−2),B(2,3),C(0,2) and D(−4,−3)

Since ABCD form a parallelogram, the midpoint of the diagonal AC should coincide with the midpoint of BD.

Mid point of AC= Mid point of BD

[

2

1+a

,

2

−2+2

]=[

2

2−4

,

2

3−3

]

[

2

a+1

,0]=[

2

−2

,0]

Since the mid points coincide, we have

2

1+a

=a

⇒a+1=−2

⇒a=−2−1

⇒a=−3