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`        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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