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The area of triangle A B C is 20c m^2dot...

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
(a)`(5,3)` (b) `(-3,-5)` `(-5,-7)` (d) `(7,5)`

A

(5,3)

B

(-3,-5)

C

(-5,-7)

D

(7,5)

Text Solution

Verified by Experts

The correct Answer is:
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`
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