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25 Apr 2022, 02:15
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
75% (02:15) correct
25%
(02:29)
wrong
based on 55
sessions
History
Date
Time
Result
Not Attempted Yet
A straight line 4x + 3y = 24 forms a triangle with the coordinate axes. What is the distance between the origin and the centre of the circle that circumscribes the triangle?
A. 13 units
B. 12 units
C. 10 units
D. 9 units
E. 5 units
A. 13 units
B. 12 units
C. 10 units
D. 9 units
E. 5 units
25 Apr 2022, 08:00
Kudos
Bookmarks
Bunuel
Breaking Down the Info:
The triangle has points (6, 0) and (0, 8)
The circle that circumscribes the triangle goes through the points above and (0, 0), and with Thale's theorem, the hypotenuse of the triangle must be the diameter of the circle.
Therefore the center of the circle is at \((3, 4)\), and the distance between the origin and (3, 4) is 5.
Answer: E
14 Apr 2024, 08:19
Kudos
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