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Points A(3,1),B (5,1),C(a,b),D(4,3) are vertics of …

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Points A(3,1),B (5,1),C(a,b),D(4,3) are vertics of parallelogram ABCD find the values of a and b

Posted by Ramfal Singh 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Given A(3, 1), B(5, 1), C(a, b) and D(4, 3) are the vertices of parallelogram.
We know that, Diagonals of parallelogram bisect each other
{tex}\therefore{/tex} {tex}\left(\frac{3+a}{2}, \frac{1+b}{2}\right){/tex} = {tex}\left(\frac{5+4}{2}, \frac{1+3}{2}\right){/tex}
Equating x and y terms, we get
3 + a = 9 and 1 + b = 4
a = 6 and b = 3
Therefore, a = 6, b = 3

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