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Find the equation of common tangent of x²+y²=4ax and y²=4ax.​

Find the equation of common tangent of x²+y²=4ax and y²=4ax.​-example-1
User Regi
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1 Answer

6 votes

Explanation:

x² +4ax+y² =0

x² +4ax+4a² +y² =4a²

(x+2a) ² +y² =4a² ......(i)

y² =4ax.........(ii)

By tracing the circle and the parabola we can clearly see that they touch each other along the y axis

So the equation of common tangent is x=0.

Find the equation of common tangent of x²+y²=4ax and y²=4ax.​-example-1
User Hirofumi Okino
by
6.7k points
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