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The area of the triangle formed by the l...

The area of the triangle formed by the lines y= ax, x+y-a=0, and y-axis is equal to

A

`(1)/(2|1+a|)`

B

`(a^(2))/(|1+a|)`

C

`(1)/(2)(a)/(|1+a|)`

D

`(a^(2))/(2|1+a|)`

Text Solution

Verified by Experts

The correct Answer is:
D

`B-=(0,a), A_(1)-=((a)/(1+a), (a^(2))/(1+a))`
`Delta_(OA_(1)B)=(1)/(2)(OB)A_(1)M`
`=(1)/(2)|a||(a)/(1+a)| = (1)/(2)(a^(2))/(|1+a|)`
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