Question
Question: The locus of the center of the circle for which one end of the diameter is (3, 3) while the other en...
The locus of the center of the circle for which one end of the diameter is (3, 3) while the other end lies on the line x + y = 4 is –
A
x +y = 3
B
x +y = 5
C
x + y = 7
D
x + y = 9
Answer
x +y = 5
Explanation
Solution
Q B lies on x + y = 4 ; 2h – 3 + 2k – 3 = 4
2h + 2k = 10 ; h + k = 5