Question
Quantitative Aptitude Question on Geometry
Let T be the triangle formed by the straight line 3x + 5y - 45 = 0 and the coordinate axes. Let the circumcircle of T have radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is
A
8
B
9
C
10
D
7
Answer
9
Explanation
Solution
The triangle is evidently a right-angled triangle, and its hypotenuse corresponds to the diameter of the circumcircle.
By substituting 0 alternatively for x and y in the equation 3x + 5y - 45 = 0, we determine the coordinates.
we have
Hypotenuse = √9² + 15² = √306 ≈ 17.5
Consequently , the radius =17.5 / 2 ≈ 8.7
Therefore, the closest integer = 9.