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If A(-2,-1) B(a,0) C(4,b) and D (1,2) a...

If A(-2,-1) B(a,0) C(4,b) and D (1,2) are vertices of a parallelogram find the values of a and b

Text Solution

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As we know that, mid point of AC= mid point of BD
`((-2-4)/2, (-1+B)/2) = ((a+1)/2, (0+2)/2)`
`(2/2, (b-1)/2)= ((a+1)/2, 1)`
`a+1/2= 1 & (b-1)/2 = 1`
`a+1=2`
`a=1`
`(b-1)/2 = 1`
`b-1=2`
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