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AP EAMCET202123 Aug 2021Evening ShiftMathematicsCircleActual

Given, three collinear points A(3,1), B(7,-1) and C(5,0) . The length of a tangent drawn from A to any circle that passes through B and C is ....... units.

Options

  1. A2 10
  2. B3 10
  3. C10
  4. D20

Correct answer

C. 10

Step-by-step solution

Since, we know that A C A B=A T^2 ...(i) by using distance formula A C= (5-3)^2+(0-1)^2 = 4+1 = 5 aligned A B & = (7-3)^2+(-1-1)^2 & = 16+4 = 20 =2 5 aligned A T^2= 5 2 5 A T= 10

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