The area of triangle formed by the vertices `(a, 1/a), (b, 1/b), (c, 1/c)` is

Options

A. `|((a+b)(b+c)(c+a))/(2abc)|`
B. `|((a-b)(b-c)(c-a))/(2abc)|`
C. `|((a-(1)/(a))(b-(1)/(b))(c-(1)/(c )))/(2)|`
D. `|((a-1)(b-1)(c-1))/(2abc)|`

Answer

B

Explanation

Area of triangle ………..
`Delta=(1)/(2) ||(a,1//a,1),(b,1//b,1),(c,1//c,1)||=(1)/(2)|(1)/(abc)||(a^(2),1,a),(b^(2),1,b),(c^(2),1,c)||`
`= (1)/(2)|((a-b)(b-c)(c-a))/(2abc)|`