Questions
A stralght line passing through meets the coordinate axes at A and B. It is given that the distance of this straight line from the origin O is maximum. The area of triangle OAB is equal to
detailed solution
Correct option is A
Line AB will be the farthest from the origin if OP is right angled to the line drawn. OP=10Also, tanθ=13OA=OPsecθ=10×103=103OB=OP cosecθ=10×101=10∴Area of ΔOAB=12(103)(10)=503Talk to our academic expert!
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The equation of the straight line which passes through the point such that the portion of the line between the axes is divided internally by the point in the ratio 5:3 is
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