{"id":133858,"date":"2023-03-11T16:03:34","date_gmt":"2023-03-11T10:33:34","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=133858"},"modified":"2023-03-11T16:03:34","modified_gmt":"2023-03-11T10:33:34","slug":"let-r-be-a-relation-in-the-set-n-given-by-r-a-b-a-b-2-b-6","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/let-r-be-a-relation-in-the-set-n-given-by-r-a-b-a-b-2-b-6","title":{"rendered":"Let R be a relation in the set N given by R = ((a, b) : a = b &#8211; 2, b > 6)."},"content":{"rendered":"<h2>These are the options for the Question: Let R be a relation in the set N given by R = ((a, b) : a = b &#8211; 2, b &gt; 6).<\/h2>\n<h3 dir=\"auto\">a) (8, 7) \u20ac R<\/h3>\n<h3 dir=\"auto\">(c) (3, 8) \u0454 R<\/h3>\n<h3 dir=\"auto\">(b) (6, 8) \u20ac R<\/h3>\n<h3 dir=\"auto\">(d) (2, 4) \u20ac R<\/h3>\n<p>&nbsp;<\/p>\n<h4>The correct answer is &#8211;<\/h4>\n<div class=\"group w-full text-gray-800 dark:text-gray-100 border-b border-black\/10 dark:border-gray-900\/50 bg-gray-50 dark:bg-[#444654]\">\n<div class=\"text-base gap-4 md:gap-6 md:max-w-2xl lg:max-w-2xl xl:max-w-3xl p-4 md:py-6 flex lg:px-0 m-auto\">\n<div class=\"relative flex w-[calc(100%-50px)] flex-col gap-1 md:gap-3 lg:w-[calc(100%-115px)]\">\n<div class=\"flex flex-grow flex-col gap-3\">\n<div class=\"min-h-[20px] flex flex-col items-start gap-4 whitespace-pre-wrap\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<p>(a) (8, 7) \u20ac R:<\/p>\n<p>To determine whether (8, 7) is in the relation R, we need to check if 8 = 7 &#8211; 2 and 7 &gt; 6 are both true.<\/p>\n<p>8 = 7 &#8211; 2 is true, but 7 &gt; 6 is also true, so the ordered pair (8, 7) satisfies both conditions and is in the relation R. Therefore, (8, 7) \u20ac R is true.<\/p>\n<p>(b) (6, 8) \u20ac R:<\/p>\n<p>To determine whether (6, 8) is in the relation R, we need to check if 6 = 8 &#8211; 2 and 8 &gt; 6 are both true.<\/p>\n<p>6 = 8 &#8211; 2 is false, so the ordered pair (6, 8) does not satisfy the condition a = b &#8211; 2 and is not in the relation R. Therefore, (6, 8) \u20ac R is false.<\/p>\n<p>(c) (3, 8) \u0454 R:<\/p>\n<p>To determine whether (3, 8) is in the relation R, we need to check if 3 = 8 &#8211; 2 and 8 &gt; 6 are both true.<\/p>\n<p>3 = 8 &#8211; 2 is false, so the ordered pair (3, 8) does not satisfy the condition a = b &#8211; 2 and is not in the relation R. Therefore, (3, 8) \u0454 R is false.<\/p>\n<p>(d) (2, 4) \u20ac R:<\/p>\n<p>To determine whether (2, 4) is in the relation R, we need to check if 2 = 4 &#8211; 2 and 4 &gt; 6 are both true.<\/p>\n<p>2 = 4 &#8211; 2 is true, but 4 &gt; 6 is false, so the ordered pair (2, 4) does not satisfy the condition b &gt; 6 and is not in the relation R. Therefore, (2, 4) \u20ac R is false.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"flex justify-between\">\n<div class=\"text-gray-400 flex self-end lg:self-center justify-center mt-2 gap-3 md:gap-4 lg:gap-1 lg:absolute lg:top-0 lg:translate-x-full lg:right-0 lg:mt-0 lg:pl-2 visible\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>These are the options for the Question: Let R be a relation in the set N given by R = ((a, b) : a = b &#8211; 2, b &gt; 6). a) (8, 7) \u20ac R (c) (3, 8) \u0454 R (b) (6, 8) \u20ac R (d) (2, 4) \u20ac R &nbsp; The correct answer [&hellip;]<\/p>\n","protected":false},"author":21842,"featured_media":132233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-133858","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133858","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21842"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=133858"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133858\/revisions"}],"predecessor-version":[{"id":133859,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/133858\/revisions\/133859"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/132233"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=133858"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=133858"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=133858"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}