Question

I will mark as brainliest
Find the angle of intersection of the curves x^2 + y^2= 4 and (x – 2)^2 + y^2= 4, at the
point in the first quadrant.
pls answer quickly with full steps no spam

Answer 1

x^2+y^2=4_________(1)

(x-2)^2+y^2=4

x^2-4x+4+y^2=4

x^2-4x+y^2=0________(2)

remaining ans is on photo, it will take some time

answer is 45°

Answer 2

The equation x2+y2=4 corresponds to a circle.

From this equation you get y2=4-x2

Substitute this value of y2 in the second equation and you will get a value for x.

Now substitute the value of x in any of the two equation to get the corresponding value of y.

Note: when taking roots, consider only the positive roots as in the first quadrant both coordinates are positive.

Good luck! :')