{"id":165785,"date":"2024-03-30T12:46:49","date_gmt":"2024-03-30T07:16:49","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=165785"},"modified":"2024-03-30T12:46:51","modified_gmt":"2024-03-30T07:16:51","slug":"mnop-is-a-cyclic-quadrilateral-the-angle-bisector-of-%e2%88%a0pmn-and-%e2%88%a0pon-meets-the-circle-at-point-a-and-b-respectively","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/mnop-is-a-cyclic-quadrilateral-the-angle-bisector-of-%e2%88%a0pmn-and-%e2%88%a0pon-meets-the-circle-at-point-a-and-b-respectively\/","title":{"rendered":"MNOP is a cyclic quadrilateral. The angle bisector of \u2220PMN and \u2220PON meets the circle at point A and B respectively"},"content":{"rendered":"\n

MNOP is a cyclic quadrilateral. The angle bisector of \u2220<\/span>PMN and \u2220<\/span>PON meets the circle at point A and B respectively. Find the value of \u2220<\/span>AMB?<\/p>

(a) 45\u00b0<\/p>

(b) 90\u00b0<\/b><\/p>

(c) 60\u00b0 <\/p>

(d) 120\u00b0<\/p>

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

\"\"<\/figure>\n\n\n\n

Assume any angle \u2220PMN = 60\u00b0<\/p>\n\n\n\n

Angle made by arc BN = 60\u00b0 at<\/p>\n\n\n\n

So angle made by arc BN = 60\u00b0 at M<\/p>\n\n\n\n

\u2234 \u2220AMB = 90\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"

MNOP is a cyclic quadrilateral. The angle bisector of \u2220PMN and \u2220PON meets the circle at point A and B respectively. Find the value of \u2220AMB? (a) 45\u00b0 (b) 90\u00b0 (c) 60\u00b0 (d) 120\u00b0 Sol: Assume any angle \u2220PMN = 60\u00b0 Angle made by arc BN = 60\u00b0 at So angle made by arc BN […]<\/p>\n","protected":false},"author":419,"featured_media":165787,"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":[5138],"tags":[5139],"class_list":["post-165785","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165785","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=165785"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165785\/revisions"}],"predecessor-version":[{"id":165788,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165785\/revisions\/165788"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165787"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165785"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165785"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165785"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}