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If the point (x ,-1),(3, y),(-2,3),a n d...

If the point `(x ,-1),(3, y),(-2,3),a n d(-3,-2)` taken in order are the vertices of a parallelogram, then find the values of `xa n dydot`

Text Solution

Verified by Experts

The correct Answer is:
`x=2,y=4`
The midpoints of the diagonals must be the same. Therefore,
` (x-2)/(2)=(-3+3)/(2)`
or `x=2`
and ` (-1+3)/(2)=(-2+y)/(2)`
or `y=4`
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