Question
Question: Circle x<sup>2</sup>+ y<sup>2</sup> –2x – λx – 1 = 0 passes through two fixed points, co-ordinates o...
Circle x2+ y2 –2x – λx – 1 = 0 passes through two fixed points, co-ordinates of the points are :
A
(0, ± 1)
B
(±1, 0)
C
(0, 1) and (0, 2)
D
(0, – 1) and (0, –2)
Answer
(0, ± 1)
Explanation
Solution
x2 + y2 – 2x – 1 + λx = 0
which is of type S + λL = 0,
∴ x2 + y2 – 2x – 1 = 0, x = 0 ⇒ y = ± 1