Circle And System Of Circles Question 346
Question: At which point on y-axis the line $ x=0 $ is a tangent to circle $ x^{2}+y^{2}-2x-6y+9=0 $
[RPET 1984]
Options:
A) (0, 1)
B) (0, 2)
C) (0, 3)
D) (0, 4)
Show Answer
Answer:
Correct Answer: C
Solution:
For $ x=0 $ , we get $ y^{2}-6y+9=0 $ or $ {{(y-3)}^{2}}=0 $ i.e., point of contact is (0, 3).
BETA
