The area of the triangle formed by the coordinate axes and a line is 6 square units and the length of the hypotenuse is 5 units . Find the equation of the line

Let the line cut the x-axis and the y-axis at A*(a, 0)* and B*(0, b)* respectively.

∴OA = *a*

OB = *b*

Area of the ΔOAB = =6

=>* ab = 12*

AB is the hypotenuse of the right ΔOAB.

From equations (1) and (2) , we get

*a = 4*

*b = 3*

Hence, the equation of the line AB is

If we take the negative values of the square roots in (1) and (2), we get

*a = - 4*

*b = - 3*

then the equation of the line AB is

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