Circle And System Of Circles Question 133
Question: For the line $ 3x+2y=12 $ and the circle $ x^{2}+y^{2}-4x-6y+3=0 $ , which of the following statements is true
Options:
A) Line is a tangent to the circle
B) Line is a chord of the circle
C) Line is a diameter of the circle
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Centre of the circle is (2, 3). Obviously the line $ 3x+2y=12 $ passes through the centre of the circle.
Hence it is a diameter of the circle.
BETA
