Conic Sections · JEE Preparation Mathematics

The radius of the circle x^2 + y^2 - 6x + 8y + 9 = 0 is:

Practice question from Conic Sections (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-45C5BB

The radius of the circle x^2 + y^2 - 6x + 8y + 9 = 0 is:

  1. A.2
  2. B.3
  3. C.4Correct answer
  4. D.5

Solution

Completing the squares gives (x−3)2+(y+4)2=16(x-3)^2+(y+4)^2=16. Therefore, the radius is 16=4\sqrt{16}=4.

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