1.

Find the values of k if area of tringle is 4 sq. units and dvertices are : (i) (k,0), (4,0), (0,2)

Answer» (i) Area of triangle = 4 sq. units
`rArr" "=1/2|{:(k,0,1),(4,0,1),(0,2,1):}|=+-4`
`rArr 1/2[k(0-2)+1(8-0)=+-4`
(Expending along`R_(1)`)
`rArr" "-2k+8+-8`
`"Now "-2k+8=8 or -2k+8=-8`
`rArr" "k=0 or k=8 `
(ii) Area of `Delta=4` sq. units
`rArr" "=1/2|{:(-2,0,1),(0,4,1),(0,k,1):}|=4`
`rArr|-2(4-k)-0(0-0)+1(0-0)|=8`
`rArr" "|2k-8|=8`
`rArr" "2k-8=+-8`
`rArr" "2k-8=8 or 2k-8=-08`
`rArr" "k=8 or k=0`


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