WebHere the foci are on the x-axis Therefore, the equation of the hyperbola is of the form a 2 x 2 − b 2 y 2 = 1 Since the foci are (± 4, 0) ⇒ a e = c = 4 Length of latus rectum = 1 2 ⇒ a 2 b 2 = 1 2 ⇒ b 2 = 6 a We know that a 2 + b 2 = c 2 ∴ a 2 + 6 a = 1 6 ⇒ a 2 + 6 a − 1 6 = 0 ⇒ a 2 + 8 a − 2 a − 1 6 = 0 ⇒ (a + 8) (a − ... WebMar 30, 2024 · Ex 11.4, 13 Find the equation of the hyperbola satisfying the given conditions: Foci (±4, 0), the latus rectum is of length 12 Since the foci are on the x … Ex 11.4, 9 Find the equation of the hyperbola satisfying the given …
Class 11 NCERT Solutions- Chapter 11 Conic Section – Exercise 11.4
WebMar 23, 2024 · Find the length of latus rectum, eccentricity, foci and the equations of directrices of the ellipse : 9x2+16y2=144 0298-A ... ∫ 0 2 1 + s i n x c o s x c o s 2 x ... Class 12: Answer Type: Video solution: 1: Upvotes: 99: Avg. Video Duration: 24 min: 4.6 Rating. 180,000 Reviews. WebMar 16, 2024 · Example 14Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas:(i) x2/9 − y2/16 = 1,The given equation is 𝑥2/9 − 𝑦2/16 = 1 The above equation is of the form 𝑥2/𝑎2 − 𝑦2/𝑏2 = 1Comparing (1) & (2) a2 = 9 a opening to dancing with the stars 2005 dvd
Wikizero - Semi-major and semi-minor axes
WebA particular double ordinate through focus or a particular focal chord perpendicular to focal axis is called its Latus Rectum. ... The two foci are (± ae, 0) ... 16y – 11 = 0 ; (c) 4x2 + 16y2 – 2x – 32y = 12 400 144 Ex.4 A rod of length a + b moves in such a way that both extremities remains on coordinates. WebIntroduction to Systems of Equations and Inequalities; 9.1 Systems of Linear Equations: Two Variables; 9.2 Systems of Linear Equations: Three Variables; 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables; 9.4 Partial Fractions; 9.5 Matrices and Matrix Operations; 9.6 Solving Systems with Gaussian Elimination; 9.7 Solving Systems with … WebMar 22, 2024 · Example 14Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas:(i) x2/9 − y2/16 = 1,The given equation … opening to diary of a wimpy kid 2010 dvd