WebThe given coordinates of foci are (± 3 5, 0).and length of latus rectum is 8. Since the foci are on the x axis, the equation of the hyperbola is represented as, x 2 a 2 − y 2 b 2 = 1, … WebMar 30, 2024 · Hence, the required equation of the hyperbola is 𝒙𝟐/𝒂𝟐 – 𝒚𝟐/𝒃𝟐 = 1 Now, coordinates of foci are (±c, 0) & given foci = (±4, 0) so, (±c,0) = (±4,0) c = 4 Now, Latus rectum =2𝑏2/𝑎 Given latus rectum = 12 So, 2𝑏2/𝑎=12 2b2 = 12a b2 = 6a We know that c2 = a2 + b2 Putting value of c & b2 (4)2 = a2 + 6a 16 = a2 + 6a a2 + 6a − 16 = 0 a2 + 8a − 2a −16 = 0 …
Find the equation of the hyperbola, the length of whose …
WebAug 19, 2024 · Find the equation of the ellipse in each of the cases given below: (i) foci (± 3, 0), e = 1/2. ... (iii) length of latus rectum 8, eccentricity = 3/5 and major axis on x -axis. (iv) length of latus rectum 4, distance between foci 4√2 and major axis as y -axis. two dimensional analytical geometry; WebMar 30, 2024 · Transcript Ex 11.4, 12 Find the equation of the hyperbola satisfying the given conditions: Foci (± 3√5, 0) , the latus rectum is of length 8. Co-ordinates of Foci is … Ex 11.4, 9 Find the equation of the hyperbola satisfying the given … Ex 11.4, 13 Find the equation of the hyperbola satisfying the given … how to remove hijacker from chrome
Find the equation of the ellipse in the following cases:
WebMar 6, 2024 · Solution: To find the equation of an ellipse, we need the values a and b. Now, it is known that the sum of the distances of a point lying on an ellipse from its foci is equal to the length of its major axis, 2a. The value of a can be calculated by this property. To calculate b, use the formula c 2 = a 2 – b 2. WebMar 16, 2024 · Ex 11.4, 9 Find the equation of the hyperbola satisfying the given conditions: Vertices (0, ±3), foci (0, ±5) We need to find equation of hyperbola Given Vertices (0, ±3), foci (0, ±5) Since Vertices are on the y-axis So required equation of hyperbola is 𝒚𝟐/𝒂𝟐 … Web1. a central point, as of attention or activity. 2. a point at which rays of light, heat, or other radiation meet after being refracted or reflected. 3. a. the focal point of a lens. b. the focal … how to remove highlights in kindle