Question

Number of circles touching all the lines x+y-1=0 x-y-1=0 and y+1=0 are

Answer 1

Answer: The number of circles touching the lines are 4

Given: The given lines form a triangle.

Step-by-step explanation: Plotting the given lines, we observe that they form a right angled triangle.

Every triangle have 1 incircle and 3 excircle.

So, the number of circles that can be drawn touching all the lines x + y - 1 = 0, x - y - 1 = 0 and y + 1 = 0 is 4.

Hence, the number of circles touching the lines are 4