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Question

For the line 3x + 2y = 12 and the circle x2+y24x6y+3=0, which of the following statements is true
  1. Line is a tangent to the circle
  2. Line is a chord of the circle
  3. Line is a diameter of the circle
  4. None of these


Solution

The correct option is C Line is a diameter of the circle
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.

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