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  • A straight line passing through P(3, 1) meet the coordinate axes at A and B. It is given that distance of this straight line from the origin ‘O’ is maximum. Area of triangle OAB is equa

A straight line passing through P(3, 1) meet the coordinate axes at A and B. It is given that distance of this straight line from the origin ‘O’ is maximum. Area of triangle OAB is equal to

Option: 1

50 / 3 sq. units


Option: 2

25 / 3 sq. units


Option: 3

100 / 3 sq. units


Option: 4

20/3 sq. units


Answers (1)

best_answer

Distance of the given line will be maximum when line is perpendicular to OP \Rightarrow slope of OP line should be -3 . Hence the line is \mathrm{3 x+y=10}.
Hence (A) is the correct answer.

 

Posted by

vishal kumar

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