Question

The common tangent of x^2+y^2=4 and 2x^2+y^2=2 is

Answer 1

Answer:

No common tangent.

Step-by-step explanation:

Remember the  equation of curve of ellipse will be of form x²/a² + y²/b² = 1 and circle will be of form x² + y² = r²

The given curves are x²+y² = 4.......(i) and  2x²+y² = 2......(ii)

i.e. (i) represents circle and (ii) represents ellipse since it can be written as x²/1 +y²/2 =1

Plotting the curves, we observe there is no common tangent. Since the centres for both curves is origin, the radius of circle r = 2 is greater than a = 1 and b = √2.