Equation of the Hyperbola | Graph of a Hyperbola<\/a><\/p>\nExample<\/strong><\/span> : For the given hyperbola, find the length of conjugate axis and transverse axis.<\/p>\n(i) \\(16x^2 – 9y^2\\) = 144<\/p>\n
(ii) \\(9x^2 – 16y^2 – 18x + 32y – 151\\) = 0<\/p>\n
Solution<\/strong><\/span> :<\/p>\n(i)<\/strong> We have,<\/p>\n\\(16x^2 – 9y^2\\) = 144 \\(\\implies\\) \\(x^2\\over 9\\) – \\(y^2\\over 16\\) = 1,<\/p>\n
This is of the form \\(x^2\\over a^2\\) – \\(y^2\\over b^2\\) = 1<\/p>\n
where \\(a^2\\) = 9 and \\(b^2\\) = 16 i.e. a = 3 and b = 4<\/p>\n
Length of the transverse axis = 2a = 6<\/p>\n
And the length of the conjugate axis = 2b = 8<\/p>\n
(ii) <\/strong>We have,<\/p>\n\\(9x^2 – 16y^2 – 18x + 32y – 151\\) = 0<\/p>\n
\\(\\implies\\) \\(9(x^2 – 2x)\\) – \\(16(y^2 – 2y)\\) = 151<\/p>\n
\\(\\implies\\) \\(9(x^2 – 2x + 1)\\) – \\(16(y^2 – 2y + 1)\\) = 144<\/p>\n
\\(\\implies\\) \\(9(x – 1)^2\\) – \\(16(y – 1)^2\\) = 144<\/p>\n
\\(\\implies\\) \\((x – 1)^2\\over 16\\) – \\((y – 1)^2\\over 9\\) = 1<\/p>\n
Here, a = 4 and b = 3<\/p>\n
Length of the transverse axis = 2a = 8<\/p>\n
And the length of the conjugate axis = 2b = 6<\/p>\n","protected":false},"excerpt":{"rendered":"
Here you will learn formula to find the length of conjugate axis and transverse axis of hyperbola with examples. Let’s begin – Conjugate and Transverse Axis of Hyperbola (i) For the hyperbola \\(x^2\\over a^2\\) – \\(y^2\\over b^2\\) = 1 The length of the transverse axis = 2a And the length of the conjugate axis = …<\/p>\n
Conjugate and Transverse Axis of Hyperbola – Length and Formula<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[25],"tags":[],"yoast_head":"\nConjugate and Transverse Axis of Hyperbola - Length and Formula<\/title>\n<meta name=\"description\" content=\"In this post you will learn formula to find the length of conjugate axis and transverse axis of hyperbola with examples.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/conjugate-and-transverse-axis-of-hyperbola\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Conjugate and Transverse Axis of Hyperbola - 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