JEE Advanced | 2012Straight LineHard

Question

A line is drawn through the point (1, 2) to meetthe coordinate axes at P and Q such that it formsa triangle OPQ, where O is the origin. If the areaof the triangle OPQ is least, then the slope ofthe line PQ is :

Options

A.
B.
C.- 4
D.- 2

Solution

Let the equationof line be
It passes through (1, 2)

      

Area of



but at a = 0,ᐃ not possible
    ∴ a = 2
slope of line

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