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

The area of the triangle formed by the lines `x^(2 )+4 x y+y^(2)=0, x+y=1` is

A

`(|a x_(1)^(2)+2 h x_(1) y_(1)+b y_(1)^(2)|)/(sqrt((a-b)^(2)+4 h^(2))`

B

`(c^(2))/(2(a^(2)+b^(2)))`

C

`(|a x_(1)^(2)+2 h x_(1) y_(1)+b y_(1)^(2)|)/(sqrt((a+b)^(2)+4 h^(2))`

D

`(|a x_(1)^(2)-2 h x_(1) y_(1)+b y_(1)^(2)|)/(sqrt((a-b)^(2)+4 h^(2))`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
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