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Area of the triangle formd by the line x...

Area of the triangle formd by the line x+y=3 and the angle bisector of the line pair `x^2-y^2+4y-4=0` is : a. 1/2 b. 1 c. 3/2 d. 2

Text Solution

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`x^2-y^2+4y-4=0`
`x^2=y^2-4y+4`
`x^2=(y-2)^2`
`(y-2)^2-x^2-0`
`L_1=y-x-2=0`
`L_2=y+x-2=0`
y=2 and x=0
Area=1/2*AB*BC
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