{"id":8370,"date":"2021-11-20T23:02:50","date_gmt":"2021-11-20T17:32:50","guid":{"rendered":"https:\/\/mathemerize.com\/?p=8370"},"modified":"2022-02-01T00:56:39","modified_gmt":"2022-01-31T19:26:39","slug":"what-are-the-intercepts-cut-by-the-circle-on-axes","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-are-the-intercepts-cut-by-the-circle-on-axes\/","title":{"rendered":"Intercepts Cut by the Circle on Axes"},"content":{"rendered":"

Here you will learn intercept cut by the circle an the axes i.e. x-axis and y-axis respectively.<\/p>\n

Let’s begin –<\/p>\n

Intercept Cut by Circle on Axes<\/h2>\n

The intercepts cut by the circle \\(x^2 + y^2 + 2gx + 2fy + c\\) = 0 on :<\/p>\n

(i) x-axis<\/strong><\/h4>\n

x-axis = 2\\(\\sqrt{g^2 – c}\\)<\/p><\/blockquote>\n

(ii) y-axis<\/strong><\/h4>\n

y-axis = 2\\(\\sqrt{f^2 – c}\\)<\/p><\/blockquote>\n

Note<\/strong> :<\/p>\n

(i)  If the circle cuts the x-axis at two distinct points, then \\(g^2 – c\\) > 0<\/p>\n

(ii)  If the circle cuts the y-axis at two distinct points, then \\(f^2 – c\\) > 0<\/p>\n

(iii)  If circle touches x-axis then \\(g^2\\) = c.<\/p>\n

(iv)  If circle touches y-axis then \\(f^2\\) = c.<\/p>\n

(v)  Circle lies completely above or below the x-axis then \\(g^2\\) < c.<\/p>\n

(vi)  Circle lies completely to the right or left to the y-axis, then \\(f^2\\) < c.<\/p>\n","protected":false},"excerpt":{"rendered":"

Here you will learn intercept cut by the circle an the axes i.e. x-axis and y-axis respectively. Let’s begin – Intercept Cut by Circle on Axes The intercepts cut by the circle \\(x^2 + y^2 + 2gx + 2fy + c\\) = 0 on : (i) x-axis x-axis = 2\\(\\sqrt{g^2 – c}\\) (ii) y-axis y-axis …<\/p>\n

Intercepts Cut by the Circle on Axes<\/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":[23],"tags":[],"yoast_head":"\nIntercepts Cut by the Circle on Axes - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn intercept cut by the circle an the axes i.e. x-axis and y-axis respectively.\" \/>\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\/what-are-the-intercepts-cut-by-the-circle-on-axes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Intercepts Cut by the Circle on Axes - 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