Question
Question: The centre of the circle inscribed in the square determined by the two pair of lines x<sup>2</sup> –...
The centre of the circle inscribed in the square determined by the two pair of lines x2 – 8x + 12 = 0 and y2 – 14y + 45 = 0
A
(7, 3)
B
(7, 4)
C
(4, 7)
D
(3, 7)
Answer
(4, 7)
Explanation
Solution
x2 – 8x + 12 = 0 y2 – 14y + 45 = 0
(x – 6)(x – 2) = 0 y2 – 9y – 5y + 45 = 0
x = 6, x = 2, (y – 9)(y – 5) = 0
y = 9, y = 5
