It is known that there are four intersections between the parabola y = X-2 and the ellipse X / 4 + y = 1, and the four intersections are in a circle, then the equation of the circle is___ .】

First find out the coordinates of the intersection point, any two intersection line perpendicular to the center of the circle, easy to get the coordinates of the center of the circle, radius is the distance from the center of the circle to any intersection point, you can find out the answer!

RELATED INFORMATIONS

1. It is known that the parabola y = x * X-2 has four intersections with the ellipse y * y / 4 + X * x = 1. The equation of the circle with these four intersections is solved
2. The equation of the circle passing through the four intersections of ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 and Y ^ 2 / A ^ 2 + x ^ 2 / b ^ 2 = 1 (a > b > 0)
3. It is known that the focus of the ellipse is on the x-axis, passing (2, root sign 3), and the eccentricity is root sign 3 / 2
4. To find the hyperbolic equation with the same focus as the ellipse X & # 178 / 16 + Y & # 178 / 8 = 1, the asymptotic equation is x ± √ 3Y = 0
5. If the hyperbola and ellipse 3x ^ 2 + 4Y ^ 2 = 48 are in common focus, and the real axis length is equal to 2, then the hyperbolic equation is?
6. It is known that the ellipse x ^ 2 / M-Y ^ 2 = 1 (M > 1) and hyperbola x ^ 2 / n-y ^ 2 = 1 (n > 0) with the same two foci F 1 and F 2, P is one of their foci, then It is known that the ellipse x ^ 2 / M-Y ^ 2 = 1 (M > 1) and hyperbola x ^ 2 / n-y ^ 2 = 1 (n > 0) with the same two foci F 1 and F 2, and P is one of their foci, then the shape of triangle pf1f 2 is
7. Ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) and hyperbola x ^ 2 / M-Y ^ 2 / N = 1 (m, n > 0) have common focus, F1, F2, P are their common points Ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) and hyperbola x ^ 2 / M-Y ^ 2 / N = 1 (m, n > 0) have common focus F1, F2 and P are their common points (1) Using B and N to express cos ∠ f1pf2 (2) Let s △ f1pf2 = f (B, n)
8. Let ellipse C and hyperbola d have the same focus F1 (- 4,0), F2 (4,0), and the length of the major axis of ellipse is twice the length of the real axis of hyperbola. Try to find the trajectory equation of the intersection of ellipse C and hyperbola D
9. Given that the absolute value of the distance difference between a point on the hyperbola and two focal points (- 2,0) and (2,0) is 2, then the hypohyperbolic equation is A 3 / 3 x ^ 2-y ^ 2 = 1 B x ^ 2-2 / 3 y ^ 2 C 3 / x ^ 2-y ^ 2 = - 1 D x ^ 2-3 of Y ^ 2 = - 1
10. Given that the square of hyperbola 2x - the square of 3Y = 18, what is the absolute value of the distance difference between a point and two focal points on the hyperbola, and what is the focal length? Answer the specific steps
11. It is known that the parabola y = x ^ 2-2 and the ellipse x ^ 2 / 4 + y ^ 2 = 1 have four intersections If the four points are in a circle, the equation of the circle is
12. Let a focus of the ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) coincide with the focus of the parabola C: y ^ 2 = 8x, the eccentricity e = 2 radical 5 / 5, the right focus f passing through the ellipse be a straight line L not coincident with the coordinate axis, intersecting the ellipse at two points a and B. let m (1,0), and (MA vector + MB vector) ⊥ AB vector, find the equation of the straight line L
13. How to solve sin3x-cos3x-sinx + cosx?
14. cos3x/2×cosx/2-sin3x/2×sinx/2
15. sin3x/sinx+cos3x/cosx
16. Let f (SiNx) = cos2x, then f (1 / 3) is equal to?
17. Given the vector a = (SiNx, 1), B = (cosx, 1), X ∈ R. (1) when x = π 4, find the coordinates of vector a + B; (2) if the function f (x) = | a + B | 2 + m is an odd function, find the value of real number M
18. Given the vector a = (SiNx, 2), B = (1, - cosx), and a is perpendicular to B, find the value of TaNx and Tan (x-card / 4)
19. Given that the vector a = (SiNx, 2) the vector b = (|, - cosx), and the vector a is perpendicular to the vector B. 1::: find the value of TaNx 2: find the value of Tan (x-wu / 4),
20. Given the vector a = (1 / 2, √ 3 / 2), B = (cosx, SiNx). If a · B = 2cos [(12K π + 13 π) / 6 + x] (K ∈ z), find the value of Tan (x + 5 π / 12) Only the answer is OK