Find the equation of the tangents to the circle x2 + y2 = 4 which make

1.	Find the equation of the tangents to the circle x2 + y2 = 4 which make an angle of 60Â° with the positive x-axis in anticlockwise direction
Answer» Let the equation be : y= mx+cSince, angle made with x-axis is 60° , slope(m)= tan 60°= √3 Also, distance of this line from (0,0), which is center of circle ,is radius=2. So, c²=a²(1+m²) c²= 4(1+3)c= 4So, equation is : y= √3x + 4

Find the equation of the tangents to the circle x2 + y2 = 4 which make an angle of 60Â° with the positive x-axis in anticlockwise direction

Answer»

Let the equation be : y= mx+cSince, angle made with x-axis is 60° , slope(m)= tan 60°= √3

Also, distance of this line from (0,0), which is center of circle ,is radius=2.

So, c²=a²(1+m²) c²= 4(1+3)c= 4So, equation is : y= √3x + 4