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If area of triangle is 35 sq units with ...

If area of triangle is 35 sq units with vertices `(2, - 6), (5, 4) a n d (k , 4)`. Then k is(A) 12 (B) `-2` (C) ` 12 , 2` (D) `12 , 2`

Text Solution

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The correct Answer is:
(d)
Area of `Delta=35`sq.units
`rArr" "1/2|{:(2,-6,1),(5,4,1),(k,4,1):}|=35`
`rArr" "|2(4-4)+6(5-k)+1(20-4K)|=70`
` |30-6k+20-4k|70`
`rArr" "50-10k=+-70`
`rArr 50-10k=70 or 50-10k=-70`
`rArr" "k=-2 or k=12`.
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