The area of triangle `A B C` is `20c m^2dot` The coordinates of vertex `A` are `-5,0)` and those of `B` are `(3,0)dot` The vertex `C` lies on the line

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The area of triangle `A B C` is `20c m^2dot` The coordinates of vertex `A` are `-5,0)` and those of `B` are `(3,0)dot` The vertex `C` lies on the line

The area of triangle `A B C` is `20c m^2dot` The coordinates of vertex `A` are `-5,0)` and those of `B` are `(3,0)dot` The vertex `C` lies on the line `x-y=2` . The coordinates of `C` are `(5,3)` (b) `(-3,-5)` `(-5,-7)` (d) `(7,5)`
A. (5,3)
B. (-3,-5)
C. (-5,-7)
D. (7,5)

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
Let any point on the line `x-y=2` be `C(h,h-2)`. The given area of `DeltaABC` is.
`|(1)/(2)||{:(h,,h-2,,1),(-5,,0,,1),(3,,0,,1):}|=20`
or ` |8(h-2)|=40`
or `h-2=+-5`
or `h=7,-3`

6 views Answered 2023-02-05 15:29