What are the foci of the ellipse given by (z-3)2 (y-1)2 - = 1? 25 O (-4, 1) and (4, 1) O (3, 5) and (3, -3) O (16, 1) and (-16, 1) O (-1, 1) and (7, 1)

Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What are the foci of the ellipse given by the equation 25x² + 16y² = 400? (± 3,0) (± 9, 0) (0, ± 3)…

A:

Q: 20. Find the foci of the ellipse with the following equation: 169 + = 1 25 O F(-5, 0), F2(5, 0) O…

A:

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: 4. HYPERBOLA VERTICES : -2,-4) (-2,6) FOCI : (-2,-5) (2,7)

A:

Q: write the standard form equation for the conic with center at (-8,14), vertices at (-1,14) and…

A:

Q: 2x2 + 3y2 – 12 = 0 - 24 1 44 200 12 14 14 15 14 24 erom 22 24 24 O y=vC(12-2x*2)/3) O…

A:

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

A:

Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: Find the equation of the hyperbola with vertices (- 3, 2), (5,2) and foci (- 4,2), (6,2) O (x- 2)2…

A:

Q: find an equation of the ellipse passing through the points (1,2) and (3,1)

A: Given, ellipse passing through the points (1,2) and (3,1) .

Q: Find the foci of the following hyperbola: (0+1)² (x-1)² = 1 O (-1+√34,-1); (-1- √34,-1) O (1,4); (1,…

A:

Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

A:

Q: Find the center of the ellipse 16x² +9y² - 64x - 54y + 1 = 0 (a)_(-2, 3) (b) (-2, -3) (c)_(2, -3)…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.