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AP EAMCET2004MathematicsCircle

The number of circles that touch all the three lines x+y-1=0, x-y-1=0 and y+1=0 is

Options

  1. A2
  2. B3
  3. C4
  4. D1

Correct answer

C. 4

Step-by-step solution

Given lines are x+y-1=0, x-y-1=0 and y+1=0 These lines form a triangle the total number of circles that touches all the three sides of a triangle are 4. [ One is incircle of a triangle and when we extend the sides of a triangle we will get the three ex-circle which touches all sides of a triangle]

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