If A(-2,-1) B(a,0) C(4,b) D(1,2) are the vertices of a parallelogram, Find the value of a & b.
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If A(-2,-1) B(a,0) C(4,b) D(1,2) are the vertices of a parallelogram, Find the value of a & b.
Answer:
✿Let a(-2,-1) , b(a,0) , c(4,b) and d(1,2) are the vertices of parallogram ABCD.
✷we know that diagonals of //gm intersect each other equally at o.
☆☆☆☆☆☆ AC=BD ☆☆☆☆☆☆
for finding AC
✷Therefore 0 divides AC and BD in the ratio 1:1
✿By Section formula....
,
Applying section formula on BD
from (1) and (2),
Taking,
Hence the coordinate of a and b are 1 and 3.
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