The curve $C_1\,$ has parametric equations

$6\cos t$ , $2\sqrt{5}\sin t$ , where $\leq t < 2\pi$

$C_1\,$ meets the circle $C_2$ , which has equation $x^2 + y^2 = 25$ , at four distinct points, as shown in Figure 1 below.

Figure for question 2

Find the exact Cartesian coordinates of the four points of intersection.

The curve $C_1\,$ has parametric equations

$6\cos t$ , $2\sqrt{5}\sin t$ , where $\leq t < 2\pi$

$C_1\,$ meets the circle $C_2$ , which has equation $x^2 + y^2 = 25$ , at four distinct points, as shown in Figure 1 below.

Figure for question 2

Find the exact Cartesian coordinates of the four points of intersection.

1.5 Coordinate Geometry

1.5 Coordinate Geometry Questions