{"id":230429,"date":"2025-06-09T12:08:50","date_gmt":"2025-06-09T12:08:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230429"},"modified":"2025-06-09T12:08:53","modified_gmt":"2025-06-09T12:08:53","slug":"name-the-quadrants-in-which-signs-of-abscissa-and-ordinate-are-opposite","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/name-the-quadrants-in-which-signs-of-abscissa-and-ordinate-are-opposite\/","title":{"rendered":"Name the quadrants in which signs of abscissa and ordinate are opposite"},"content":{"rendered":"\n<p>Name the quadrants in which signs of abscissa and ordinate are opposite<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p><strong>Quadrants II and IV<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>In the Cartesian coordinate system, the position of a point in a plane is described using two values:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Abscissa (x-coordinate)<\/strong>: represents the horizontal position.<\/li>\n\n\n\n<li><strong>Ordinate (y-coordinate)<\/strong>: represents the vertical position.<\/li>\n<\/ul>\n\n\n\n<p>The plane is divided into <strong>four quadrants<\/strong> based on the signs of the x and y coordinates:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Quadrant I<\/strong>: (+x, +y) \u2192 both abscissa and ordinate are <strong>positive<\/strong>.<\/li>\n\n\n\n<li><strong>Quadrant II<\/strong>: (\u2212x, +y) \u2192 abscissa is <strong>negative<\/strong>, ordinate is <strong>positive<\/strong>.<\/li>\n\n\n\n<li><strong>Quadrant III<\/strong>: (\u2212x, \u2212y) \u2192 both abscissa and ordinate are <strong>negative<\/strong>.<\/li>\n\n\n\n<li><strong>Quadrant IV<\/strong>: (+x, \u2212y) \u2192 abscissa is <strong>positive<\/strong>, ordinate is <strong>negative<\/strong>.<\/li>\n<\/ol>\n\n\n\n<p>The question asks for the quadrants <strong>in which the signs of the abscissa and ordinate are opposite<\/strong>. This occurs when one coordinate is positive and the other is negative. Let\u2019s analyze:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In <strong>Quadrant II<\/strong>, the <strong>abscissa is negative<\/strong> (\u2212x) and the <strong>ordinate is positive<\/strong> (+y) \u2192 <strong>opposite signs<\/strong>.<\/li>\n\n\n\n<li>In <strong>Quadrant IV<\/strong>, the <strong>abscissa is positive<\/strong> (+x) and the <strong>ordinate is negative<\/strong> (\u2212y) \u2192 again, <strong>opposite signs<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Therefore, the signs of the abscissa and ordinate are opposite in <strong>Quadrants II and IV<\/strong>.<\/p>\n\n\n\n<p>This distinction is important in mathematics, especially in graphing functions and analyzing geometric relationships. Understanding the sign conventions in each quadrant helps with plotting points, interpreting vector directions, and solving equations graphically. For example, if you know a point lies in a quadrant where the signs of x and y are different, you can quickly narrow down possible locations, aiding in faster computation and error checking.<\/p>\n\n\n\n<p>In summary, the signs of the abscissa and ordinate are opposite in <strong>Quadrant II<\/strong> (\u2212x, +y) and <strong>Quadrant IV<\/strong> (+x, \u2212y), which makes them the correct answer.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-182.jpeg\" alt=\"\" class=\"wp-image-230430\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Name the quadrants in which signs of abscissa and ordinate are opposite The Correct Answer and Explanation is: Correct Answer: Quadrants II and IV Explanation In the Cartesian coordinate system, the position of a point in a plane is described using two values: The plane is divided into four quadrants based on the signs of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","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":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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