If the area of the rhombus enclosed by the lines x ± y ± n = 0 be 2 square units, then

Question

If the area of the rhombus enclosed by the lines x ± y ± n = 0 be 2 square units, then, n 2 = 4, n 2 = 2, n 2 = 1 2, n 2 = 1

MARKS App · Accepted Answer

By solving the equation of the sides of the rhombus, its vertices are 0 , - n 1 , - n 1 , 0 , 0 , n 1 and n 1 , 0 ∴ area = 1 2 × 2 n 1 × 2 n 1 = 2 ⇒ n 2 =1

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