Questions
A line is drawn perpendicular to line y = 5x, meeting the coordinate axes at A and B. If the area of triangle OAB is 10 sq. units, where O is the origin, then the equation of drawn line is
detailed solution
Correct option is A
Let the equation of line be xa+yb=1AB is perpendicular to y=5x. Hence, −ba×5=−1 or 5b=a Area of ΔOAB=12|ab| or 10=125b2 or b2=4 or b=±2,a=±10The line can be x10+y2=1 or x10+y2=−1Talk to our academic expert!
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