{"id":156454,"date":"2023-08-31T12:09:10","date_gmt":"2023-08-31T06:39:10","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156454"},"modified":"2023-08-31T12:09:11","modified_gmt":"2023-08-31T06:39:11","slug":"the-set-of-equations-%f0%9d%91%a5-%f0%9d%91%a6-%f0%9d%91%a7-1-%f0%9d%91%8e%f0%9d%91%a5-%f0%9d%91%8e%f0%9d%91%a6-3%f0%9d%91%a7-5","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-set-of-equations-%f0%9d%91%a5-%f0%9d%91%a6-%f0%9d%91%a7-1-%f0%9d%91%8e%f0%9d%91%a5-%f0%9d%91%8e%f0%9d%91%a6-3%f0%9d%91%a7-5\/","title":{"rendered":"The set of equations \ud835\udc65 + \ud835\udc66 + \ud835\udc67 = 1 \ud835\udc4e\ud835\udc65 \u2013 \ud835\udc4e\ud835\udc66 + 3\ud835\udc67 = 5"},"content":{"rendered":"\n

Q. The set of equations<\/p>\n\n\n\n

\ud835\udc65 + \ud835\udc66 + \ud835\udc67 = 1<\/p>\n\n\n\n

\ud835\udc4e\ud835\udc65 \u2013 \ud835\udc4e\ud835\udc66 + 3\ud835\udc67 = 5 <\/p>\n\n\n\n

5\ud835\udc65 \u2212 3\ud835\udc66 + \ud835\udc4e\ud835\udc67 = 6<\/p>\n\n\n\n

has infinite solutions, if a <\/em>=<\/p>\n\n\n\n

(A) \u22123<\/td>(B) 3<\/td>(C) 4<\/td>(D) \u22124<\/td><\/tr><\/tbody><\/table>
Ans: 4<\/figcaption><\/figure>\n\n\n\n

<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

\u03c1(A)=\u03c1(AB)< no.of variables
|A|=0<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Q. The set of equations \ud835\udc65 + \ud835\udc66 + \ud835\udc67 = 1 \ud835\udc4e\ud835\udc65 \u2013 \ud835\udc4e\ud835\udc66 + 3\ud835\udc67 = 5 5\ud835\udc65 \u2212 3\ud835\udc66 + \ud835\udc4e\ud835\udc67 = 6 has infinite solutions, if a = (A) \u22123 (B) 3 (C) 4 (D) \u22124 Ans: 4 Sol: \u03c1(A)=\u03c1(AB)< no.of variables|A|=0<\/p>\n","protected":false},"author":419,"featured_media":156456,"comment_status":"open","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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-156454","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156454","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=156454"}],"version-history":[{"count":2,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156454\/revisions"}],"predecessor-version":[{"id":156458,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156454\/revisions\/156458"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156456"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156454"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156454"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}