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If (-4,0) and (1,-1) are two vertices of...

If `(-4,0)` and `(1,-1)` are two vertices of a triangle of area `4s qdotu n i t s ,` then its third vertex lies on (a)`y=x` (b) `5x+y+12=0` (c)`x+5y-4=0` (d) `x+5y+12=0`

A

`y=x`

B

`5x+y+12=0`

C

`x+5y-4=0`

D

`x+5y+12=0`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Let the third vertex be (x,y) then. ,
`(1)/(2)|{:(x,,y,,1),(-4,,0,,1),(1,,-1,,1):}|=+-4`
`rArrx+5y+4=+-8`
`rArrx+5y+12=0 or x+5y-4=0`
Hence, the third vertex lies on `x+5y+12=0 or x+5y-4=0`.
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