Find an equation of the ellipse with center at the origin that passes through the points {eq}\displaystyle \left (1,\ \dfrac {-10 \sqrt 2} 3\right ) {/eq} and {eq}\displaystyle \left (-2,\ \dfrac {5 \sqrt 5} 3\right ) ...
Find the condition on a and b for which two distinct chords of the hyp... 04:47 The point of intersection of the tangents at the point P on the ellip... 02:38 Find the equation of the ellipse (referred to its axes as the axes o... 03:28 Tangents are drawn to the ellipse x...
题目 In Exercise, find the standard form of the equation of the ellipse with the given characteristics and center at the origin. 相关知识点: 试题来源: 解析 (x^2)4+(y^2)(16)=1 反馈 收藏
In Exercises (1)-(3), find the standard form of the equation of each ellipse satisfying the given conditions. (1)Foci: (-4, 0), (4,0); Vertices: (-5,0), (5,0) (2)Foci: (0, -3), (0, 3); Vertices: (0, -6), (0,6) (3)Major axis horizontal with length 12; length...
To find the foci of the ellipse given by the equation 25(x+1)2+9(y+2)2=225, we will follow these steps: Step 1: Rewrite the equation in standard formWe start with the equation:25(x+1)2+9(y+2)2=225To convert this into standard form, we divide the entire equation by 225:25...
Note that for the general equation of the ellipse, h is the x-coordinate of the center of the ellipse; k is the y-coordinate of the center of the ellipse; a is one-half the length of the longer axis of the ellipse (the longer of the width or length of the ellipse); b is one-...
Find an equation for the ellipse whose graph goes through the points (5, 0) and (0, 8). Find the vertices and foci of the ellipse 25 x^2+169 y^2=4225 Find the vertices and foci of the ellipse ((x - 3)^2)/16 + ((y + 4)^2)/9 = 1. ...
Example 15:P(1,1 )is the midpoint of the chordAB on the ellipse+=1.Find the equation of the54line containing the chord AB.Example 15:P(1, 1)is the midpoint of the chord AB on the ellip :1.Find the equation of the line containing the chord AB. ...
Simplify each term in the equation in order to set the right side equal to ( 1). The standard form of an ellipse or hyperbola requires the right side of the equation be ( 1).( (x^2)4+(y^2)(36)=1)This is the form of an ellipse. Use this form to determine the ...
This is a equation for ellipse that I madeI'd like to get a coordinate of points on this ellipsex coordinate starts from -4.9 and increase by 0.1 How...