THE CORRECT ANSWER IS (C). BY SUBSTITUTING Y2 = 4X INTO X2 + Y2 =...

47. The correct answer is (C). By substituting y

²

= 4x into x

²

+ y

²

= 25, we obtain x

²

+ 4x – 25 = 0Solve by the quadratic formula.One root is positive and the other negative. Since , the negative value of x gives us imagi-nary values of y, but the positive value of x gives us two real values of y. Hence, there are two pointsof intersection.orx

²

+ y

²

= 25 is a circle with center at the origin and a radius of 5y

²

= 4x is a parabola with vertex at (0,0) open to the right2 points of intersection