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cathy Grade:
        

the equation of the common tangent touching the circle (x-3)^2+y^2=9 and the parabola y^2=4x above the x-axis is

7 years ago

Answers : (1)

Nehal Wani
21 Points
										

Center of circle: (3,0)


Equation of tangent on parabola:


y=mx+a/m


a=1


y=mx+1/m


Perpendicular Distance from the center of the circle = 3


|3m+1/m|/(1+m)1/2=3


m2=1/3 => m=+1/√3 or -1/√3


As tangent is above x-axis, slope is (+)ve


Therefore, Equation of tangent:


y=x/√3+√3
=> √3y=x+3

7 years ago
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