Circle And System Of Circles Question 325
Question: The straight line $ x-y-3=0 $ touches the circle $ x^{2}+y^{2}-4x+6y+11=0 $ at the point whose co-ordinates are
[MP PET 1993]
Options:
A) $ (1,-2) $
B) $ (1,,2) $
C) $ (-1,,2) $
D) $ (-1,-2) $
Show Answer
Answer:
Correct Answer: A
Solution:
Trick: The point must satisfy the line and the circle simultaneously. Obviously the point of contact is $ (1,\ -2) $ .