Find the coordinates of the vertex and focus, then find the equation of the directrix for the given equation.x − 4x − 2y = 0Vertex :Focus :Directrix : 相关知识点: 试题来源: 解析 Vertex : (2,−2); Focus : (2,−PD=12); Directrix : y = −PD=12Vertex : (2,−2); ...
百度试题 结果1 题目 An ellipse with equation x(a^2)+ y(b^2)=1 has focus (3,0) and the equation of the directrix is x=12 Find the values of a and b. 相关知识点: 试题来源: 解析 a=6, b=3√ 3 反馈 收藏
The coordinates of the focus is represented as $$f(-p,0) $$ while the equation of the directrix is given by $$x = p $$ Answer and Explanation:1 First, rewrite the given equation of the parabola: $$\begin{align} y^{2} + 12x & = 0 \\...
(3)If 4p = 4, then the equation of the directrix is ___. (4)If 4p = 4, then the length of the latus rectum is ___.The endpoints of the latus rectum are ___ and ___. 相关知识点: 试题来源: 解析 (1)d (2)(-2,0) (3)y=-2 (4)4 (-4,0) (0,0) 反馈...
Find the equation of the parabola with focus(−3,0)and the equation of the directrix is x = 3. Find the equation of the parabola with focus (7, 0) and equation of the directrix is x = -7. View Solution FInd the equation of the parabola The focus at (1,1) the directrixx−y...
The equation of the parabola when its focus {eq}(p,q) {/eq} and the equation of the directrix {eq}y = l {/eq} are given, is found with the help of the standard equation of the parabola as given below: {eq}\left ( y-k \right )^{2}...
Find the equation of hyperbola whose equation of directrix is x+2y=1, focus is (-1,-1) and eccentricity is √2. View Solution Find the equation of the parabola whose focus is (2, 0) and directrix is x=−2. View Solution Find the equation of the hyperbola whose : focus is (2,...
The directrix and focus of a parabola determine its shape, size, and direction. There is a formula for finding the directrix and focus. Examples...
The distance from the focus (2, 1) to the directrix x=-4 is 2-(-4)=6, so the distance from the focus to the vertex is 12(6)=3 and the vertex is (-1, 1). Since the focus is to the right of the vertex, p=3. An equation is (y-1)^2=4⋅ 3[x-(-1)], or (y-...
The parabola at left is formed by graphing the function y = x2. pa·rab·o·la (pə-răb′ə-lə) The curve formed by the set of points in a plane that are all equally distant from both a given line (called the directrix) and a given point (called the focus) that is no...