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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

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

Options

An 2 = 4
Bn 2 = 2
Cn 2 = 1 2
Dn 2 = 1

Correct answer

D. n 2 = 1

Step-by-step solution

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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