{"id":153226,"date":"2022-04-07T15:23:57","date_gmt":"2022-04-07T09:53:57","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=153226"},"modified":"2024-12-13T16:38:45","modified_gmt":"2024-12-13T11:08:45","slug":"important-straight-line-formulas-for-jee","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/","title":{"rendered":"Important Straight Line Formulas For JEE"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/#Formulas_for_the_straight_line\" title=\"Formulas for the straight line\">Formulas for the straight line<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/#JEE_Foundation_Class_for_10\" title=\"JEE Foundation Class for 10\">JEE Foundation Class for 10<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/#FAQs\" title=\"FAQs:\">FAQs:<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/#Is_straight_line_significant_for_JEE\" title=\"Is straight line significant for JEE?\">Is straight line significant for JEE?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/#Are_recipes_significant_for_JEE\" title=\"Are recipes significant for JEE?\">Are recipes significant for JEE?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Formulas_for_the_straight_line\"><\/span>Formulas for the straight line<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>1. Distance formula:<\/strong><\/p>\n<p>d = \u221a[(x<sub>2<\/sub>-x<sub>1<\/sub>)<sup>2<\/sup>+(y<sub>2<\/sub>-y<sub>1<\/sub>)<sup>2<\/sup>]\n<p><b>2. Section Formula:<\/b><\/p>\n<p>x = (mx<sub>2<\/sub>+nx<sub>1<\/sub>)\/(m+n)<\/p>\n<p>y = (my<sub>2<\/sub>+ny<sub>1<\/sub>)\/(m+n)<\/p>\n<p><b>3. Centroid:<\/b><\/p>\n<p>G = [(x<sub>1<\/sub>+x<sub>2<\/sub>+x<sub>3<\/sub>)\/3, (y<sub>1<\/sub>+y<sub>2<\/sub>+y<sub>3<\/sub>)\/3]\n<div>\n<p style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/test-series\/jee-12-aits?utm_source=surge&amp;utm_medium=Org&amp;utm_campaign=AITS&amp;mrk_coupon_code=AITS10OFF&amp;tracking_source=il_surge\"><br \/>\n<button><strong>Click to get Class 12 JEE All India Test Series<\/strong><br \/>\n<\/button><br \/>\n<\/a><\/p>\n<p style=\"text-align: center;\"><strong><span style=\"font-size: 16px; text-align: center;\">Get 10% Off! Use Code: AITS10OFF<\/span><\/strong><\/p>\n<\/div>\n<p><b>4. Incentre:<\/b><\/p>\n<p>I = {(ax<sub>1<\/sub>+bx<sub>2<\/sub>+cx<sub>3<\/sub>)\/(a+b+c), (ay<sub>1<\/sub>+by<sub>2<\/sub>+cy<sub>3<\/sub>) \/ (a+b+c)}<\/p>\n<p><b>5. Excentre:<\/b><\/p>\n<p>I<sub>1<\/sub> = {(-ax<sub>1<\/sub>+bx<sub>2<\/sub>+cx<sub>3<\/sub>)\/(-a+b+c), (-ay<sub>1<\/sub>+by<sub>2<\/sub>+cy<sub>3<\/sub>)\/(-a+b+c)}<\/p>\n<p><b>6. Slope formula:<\/b><\/p>\n<p>(i) Line joining two points (x<sub>1<\/sub>, y<sub>1<\/sub>) and (x<sub>2<\/sub>, y<sub>2<\/sub>), m = (y<sub>1  \u2013 <\/sub>y<sub>2<\/sub>) \/ (x<sub>1 \u2013<\/sub> x<sub>2<\/sub>)<\/p>\n<p>(ii) Slope of a line ax+by+c = 0 is -coefficient of x\/coefficient of y = -a\/b<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/test-series\/jee-13-aits?utm_source=surge&amp;utm_medium=Org&amp;utm_campaign=AITS&amp;mrk_coupon_code=AITS30&amp;tracking_source=il_surge\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/12\/aitsclass12.png\" alt=\"class 12 jee test series\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/12\/aitsclass12.png\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/test-series\/jee-12-aits?utm_source=surge&amp;utm_medium=Org&amp;utm_campaign=AITS&amp;mrk_coupon_code=AITS30&amp;tracking_source=il_surge\"><button><strong>Get 30 Off! Use Code: AITS30<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost Your Preparation With Our All India Test Series for Class 13 JEE Main &amp; Advanced 2025<\/div>\n<\/div>\n<p><b>7. Equation of a straight line in various forms:<\/b><\/p>\n<p><b>(i) Point Slope form:<\/b> y-y<sub>1<\/sub> = m(x \u2013 x<sub>1<\/sub>)<\/p>\n<p><b>(ii) Slope intercept form:<\/b> y = mx + c<\/p>\n<p><b>(iii) Two point form:<\/b> y-y<sub>1<\/sub> = {(y<sub>2 <\/sub>\u2013 y<sub>1<\/sub>) \/ (x<sub>2 <\/sub>\u2013 x<sub>1<\/sub>)} \u00d7 (x-x<sub>1<\/sub>)<\/p>\n<p><b>(iv) Intercept form:<\/b> (x\/a) + (y\/b) = 1<\/p>\n<p><b>(v) Perpendicular \/ Normal form:<\/b> x cos \u03b1  +y sin \u03b1   = p<\/p>\n<p><b>(vi) Parametric form:<\/b> x = x<sub>1<\/sub>+ r cos \u03b8   , y = y<sub>1<\/sub> + r sin \u03b8<\/p>\n<p><b>(vii) Symmetric form:<\/b> (x \u2013 x<sub>1<\/sub>)\/cos \u03b8  = (y \u2013 y<sub>1<\/sub>) \/ sin \u03b8 = r<\/p>\n<p><b>(viii) General form:<\/b> ax + by + c = 0<\/p>\n<p>x intercept = -c\/a<\/p>\n<p>y intercept = -c\/b<\/p>\n<p><b>8. Parallel lines:<\/b><\/p>\n<p>Two lines ax+by+c = 0 and a\u2019x+b\u2019y+c\u2019 = 0 are parallel if a\/a\u2019 = b\/b\u2019 \u2260 c\/c\u2019.<\/p>\n<p>Thus any line parallel to ax+by+c = 0 is of the type ax+by+k = 0, where k is a parameter.<\/p>\n<p><b>9. Perpendicular lines:<\/b><\/p>\n<p>Two lines ax+by+c = 0 and a\u2019x+b\u2019y+c\u2019 = 0 are perpendicular if aa\u2019+bb\u2019 = 0<\/p>\n<p><b>10. Position of the points (<\/b><strong>x<sub>1<\/sub>, y<\/strong><sub>1<\/sub><b>) and (x<sub>2<\/sub>, y<sub>2<\/sub><\/b><b>) relative to the line  ax+by+c = 0:<\/b><\/p>\n<p>In general, two points (x<sub>1<\/sub>, y<sub>1<\/sub>) and (x<sub>2<\/sub>, y<sub>2<\/sub>) will lie on the same side or opposite side of ax+by+c = 0 according to ax<sub>1<\/sub>+by<sub>1<\/sub>+c and ax<sub>2<\/sub>+by<sub>2<\/sub>+c are of the same or opposite sign respectively.<\/p>\n<p><b>11. Length of the perpendicular from a point on a line :<\/b><\/p>\n<p>The length of the perpendicular from a point (x<sub>1<\/sub>, y<sub>1<\/sub>) to a line ax + by + c = 0 is<\/p>\n<p><b>12. Reflection of a point about a line:<\/b><\/p>\n<p>(i) Foot of the perpendicular from a point on the line is (x-x<sub>1<\/sub>)\/a = (y-y<sub>1<\/sub>)\/b = -(ax<sub>1<\/sub>+by<sub>1<\/sub>+c)\/(a<sup>2<\/sup>+b<sup>2<\/sup>)<\/p>\n<p>(ii)Image of (x<sub>1<\/sub>, y<sub>1<\/sub>) in the line ax+by+c = 0 is (x-x<sub>1<\/sub>)\/a = (y-y<sub>1<\/sub>)\/b = -2 (ax<sub>1<\/sub>+by<sub>1<\/sub>+c)\/(a<sup>2<\/sup>+b<sup>2<\/sup>)<\/p>\n<div class=\"card\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><br \/>\n<noscript><img style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"JEE Foundation Class 10 Online Course\" data-eio=\"l\" \/><\/noscript><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><img loading=\"lazy\" class=\" lazyloaded alignnone\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"jee-foundation-course-for-class-10\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"JEE_Foundation_Class_for_10\"><\/span>JEE Foundation Class for 10<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: center;\">JEE Foundation Class for 10 enhances critical thinking and problem-solving skills through engaging activities and advanced learning techniques, ensuring academic excellence.<br \/>\n<a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><button><strong>JEE Foundation Class for 10<\/strong><\/button><\/a><\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"FAQs\"><\/span><span style=\"color: #0000ff;\"><strong>FAQs:<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Is_straight_line_significant_for_JEE\"><\/span>Is straight line significant for JEE?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tYes, it is still in JEE prospectus. It is one of the significant subjects of Coordinate Geometry, so don't miss it.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Are_recipes_significant_for_JEE\"><\/span>Are recipes significant for JEE?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe JEE Main significant recipes can help applicants in different ways: It helps in saving time for the test. Makes the estimations simpler. Decreases the gamble of errors.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is straight line significant for JEE?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Yes, it is still in JEE prospectus. It is one of the significant subjects of Coordinate Geometry, so don't miss it.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Are recipes significant for JEE?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The JEE Main significant recipes can help applicants in different ways: It helps in saving time for the test. Makes the estimations simpler. Decreases the gamble of errors.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Formulas for the straight line 1. Distance formula: d = \u221a[(x2-x1)2+(y2-y1)2] 2. Section Formula: x = (mx2+nx1)\/(m+n) y = (my2+ny1)\/(m+n) [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"straight lines class 11 formulas","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Here is a rundown of all equations from the point Straight Line. It is vital to change these before your JEE primary and JEE Advanced test.","custom_permalink":"blog\/iit-jee\/important-straight-line-formulas-for-jee\/"},"categories":[53,57,13],"tags":[4874,4875,4872,4871,4873],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Important Straight Line Formulas For JEE - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Here is a rundown of all equations from the point Straight Line. It is vital to change these before your JEE primary and JEE Advanced test.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Important Straight Line Formulas For JEE - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Here is a rundown of all equations from the point Straight Line. It is vital to change these before your JEE primary and JEE Advanced test.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-04-07T09:53:57+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-12-13T11:08:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/12\/aitsclass12.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasad Gupta\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Important Straight Line Formulas For JEE - Infinity Learn by Sri Chaitanya","description":"Here is a rundown of all equations from the point Straight Line. It is vital to change these before your JEE primary and JEE Advanced test.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/important-straight-line-formulas-for-jee\/","og_locale":"en_US","og_type":"article","og_title":"Important Straight Line Formulas For JEE - Infinity Learn by Sri Chaitanya","og_description":"Here is a rundown of all equations from the point Straight Line. 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