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) A line segment 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 radius of the circle.



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