{"id":166972,"date":"2024-04-22T15:02:05","date_gmt":"2024-04-22T09:32:05","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166972"},"modified":"2024-04-22T15:02:07","modified_gmt":"2024-04-22T09:32:07","slug":"if-two-circles-of-radius-7-cm-and-8-cm-have-two-common-tangent-ab-and-cd-which-touch-the-circle-on-a-c-and-b","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-two-circles-of-radius-7-cm-and-8-cm-have-two-common-tangent-ab-and-cd-which-touch-the-circle-on-a-c-and-b\/","title":{"rendered":"If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B"},"content":{"rendered":"\n

If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B, D respectively and if CD = 26, find the length of AB.<\/p>\n\n\n\n

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

(a)          33<\/p>\n\n\n\n

(b)          30<\/strong><\/p>\n\n\n\n

(c)           27<\/p>\n\n\n\n

(d)          29<\/p>\n\n\n\n

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

Let difference between centers of the circles = a<\/p>\n\n\n\n

ATQ,<\/p>\n\n\n\n

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

If two circles of radius 7 cm and 8 cm have two common tangent AB and CD which touch the circle on A, C and B, D respectively and if CD = 26, find the length of AB. (a)          33 (b)          30 (c)           27 (d)          29 Sol: Let difference between centers of the circles = […]<\/p>\n","protected":false},"author":419,"featured_media":166975,"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-166972","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\/166972","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=166972"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166972\/revisions"}],"predecessor-version":[{"id":166976,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166972\/revisions\/166976"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166975"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166972"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166972"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166972"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}