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If (-6,-4),(3,5),(-2,1) are the vertices...

If `(-6,-4),(3,5),(-2,1)` are the vertices of a parallelogram, then the remaining vertex can be `(0,-1)` (b) `7,9)` `(-1,0)` (d) `(-11 ,-8)`

A

`(0,-1)`

B

(7,10)

C

(-1,0)

D

`(-11,-8)`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
If the remaining vertex is (k,k) then

`h-2=-6+3,k+1=5-4`
or `h=-1,k=0`

`h+3=-6,k+5=-4+1`
or `h=-11,k=-8`

`h-6=3-2,k-4=5+1`
or `h=7,k=10`
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Knowledge Check

  • Three vertices of a parallelogram are (1,5,6),(3,7,4) and (5,-1,-3) . The fourth vertex cannot be

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    C
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    D
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