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  • The straight line L is perpendicular to the line . The area of the triangle formed by the line L and t

The straight line L is perpendicular to the line 4x -y = 1. The area of the triangle formed by the line L and the coordinate axis is 8. Then the equation of the straight line with positive intercept on y-axis, is

Option: 1

4x + y = 8


Option: 2

x + 4y = 4


Option: 3

x + 4y = 8


Option: 4

4x + y = 4


Answers (1)

best_answer

Answer (3)

Equation of L \;is\; x + 4y = \lambda

\therefore Area\; of\;\Delta formed \;by \;line \;L, and \;axes\; is\\

                \frac{1}{2}\lambda .\frac{\lambda }{4}=8\\ \\\Rightarrow \lambda ^{2}=64\\ \\\Rightarrow \lambda =+8 \; or \; -8\\ \\ \therefore Lines\; are\;y=-\frac{1}{4}x+2(Confirm)\\y=-\frac{1}{4}x-2(Reject)\\

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