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AP EAMCET2003MathematicsCircle

If 5 x-12 y+10=0 and 12 y-5 x+16=0 are two tangents to a circle, then the radius of the circle is

Options

  1. A1
  2. B2
  3. C4
  4. D6

Correct answer

A. 1

Step-by-step solution

Given that, 5 x-12 y+10=0 (i) and -5 x+12 y+16=0 (ii) Slope of Eq. (i) = 5 12 Slope of Eq. (ii) = 5 12 Thus, Eqs. (i) and (ii) are parallel. Therefore, distance between parallel lines = diameters of the circle. |10+16| 25+144 =2 Radius of the circle 2 Radius of circle = 26 13 Radius of circle =1

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