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The area of triangle formed by the lines x^2 + 4xy + y^2 = 0 and x – y – 4 = 0 is _________.

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The area of triangle formed by the lines x2 + 4xy + y2 = 0 and x – y – 4 = 0 is _________.

(A) Sq. 4/√3 units 

(B) Sq. 8/√3 units 

(C) Sq. 16/√3 units 

(D) Sq. 15/√3 units

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1 Answer

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Correct option is: (B) Sq. 8/√3 units 

[Hint : Area = p2/√3 , where p is the length of perpendicular from the origin to x – y – 4 = 0]

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