Question

If the graph of the equation 4x + 3y = 12 cuts the coordinate axes at A and B, then hypotenuse of right triangle AOB is of length

(a) 4 units

(b) 3 units

(c) 5 units

(d) none of these

Answer 1

(i) We are given,

We get,

Now, substituting in, we get

Substituting in,we get

Thus, we have the following table exhibiting the abscissa and ordinates of points on the line represented by the given equation

x	0	3
y	4	0

We are given that the graph of equation cuts the co-ordinate axes and and forms the right angle triangle AOB.

Length of AB in right angled triangle AOB

The length of hypotenuse AB of triangle AOB is 5 units.

Therefore, the correct answer is (c).