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A circle touches the y-axis at \((0, 4)\) and passes through the point \((-2, 0)\). Then the radius of the circle is

Question and options

A circle touches the y-axis at (0,4)(0, 4) and passes through the point (−2,0)(-2, 0). Then the radius of the circle is
  1. 4
  2. 5
  3. 6
  4. 7

Answer and explanation

Correct answer: B - 5
Centre (h,4), radius |h|. (h+2)^2 + 16 = h^2 gives 4h = -20, h = -5, so the radius is 5.

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  • IPMAT Indore

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