CBSE Class 10 Answered

Let the line intersect the x axis at A(a,0) and the y axis atB(0,b)

So OA=a and OB=b

So area of the triangle so formed =area triangle AOB=(1/2)*(ab)

but area =6 units(given)

So,

ab=12

but AOB is a right triangle as it's formed with the sides OA and OB along the coordinate axes.

So by pythagoras' theorem,

So we see that the cordinates of A and B are (4,0)and(3,0)

So theintercepts on theaxes are 3onx axis and 4 on y axis

or

4 on x axis and 3 on y axis

In any case using the intercept form we get that the equation of the line is

x/3+y/4=1

or

x/4+y/3=1