Question 19

The diameter of the circumcircle of the triangle formed by the line $$24x + 7y =168$$ and the coordinate axes is

Solution

Let's rewrite the equation $$24x + 7y =168$$ in intercept form

$$\frac{x}{7}+\frac{y}{24}$$ = 1

$$\therefore$$ The co-ordinates of the triangle are (7,0),(0,0),(0,24)

Diameter of the circumcircle formed by the vertices is given by the hypotenuse, which is between (7,0) and (0,24).

Distance between the co-ordinates (7,0) and (0,24) =$$\sqrt{7^{2} +24^{2}}$$ =25.

Hence C is the correct answer.

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