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AP EAMCET202022 Sep 2020Evening ShiftMathematicsCircleActual

The radius of any circle touching the lines 3 x-4 y+5=0,6 x-8 y-9=0 is

Options

  1. A1
  2. B23 15
  3. C20 19
  4. D19 20

Correct answer

D. 19 20

Step-by-step solution

Given lines are 3 x-4 y+5=0 aligned & 6 x-8 y-9=0 & 3 x-4 y- 9 2 =0 aligned Given lines (i) and (ii) are parallel to each other and they are touching the required circle Distance between lines (i) and (ii) = diameter of circle gathered |C₁-C₂ | a^2+b^2 =2 r |5+ 9 2 | 3^2+(-4)^2 =2 r 2 r= 19 / 2 5 2 r= 19 10 r= 19 20 gathered Hence, option (4) is correct.

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