{"id":7845,"date":"2021-11-09T14:17:01","date_gmt":"2021-11-09T08:47:01","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7845"},"modified":"2021-11-09T14:44:55","modified_gmt":"2021-11-09T09:14:55","slug":"find-the-equation-of-line-parallel-to-y-axis-and-drawn-through-the-point-of-intersection-of-the-lines-x-7y-5-0-and-3x-y-0","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-equation-of-line-parallel-to-y-axis-and-drawn-through-the-point-of-intersection-of-the-lines-x-7y-5-0-and-3x-y-0\/","title":{"rendered":"Find the equation of line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0."},"content":{"rendered":"

Solution :<\/h2>\n

On solving the equations x – 7y + 5 = 0 and 3x + y = 0 by using point of intersection formula, we get<\/p>\n

x = \\(-5\\over 22\\) and y = \\(15\\over 22\\)<\/p>\n

So, given lines intersect at \\(({-5\\over 22}., {15\\over 22})\\)<\/p>\n

Let the equation of the required line be<\/p>\n

x = \\(\\lambda\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0……….(i)<\/p>\n

because the equation of a line parallel to y-axis is x = constant.<\/p>\n

Since, equation (i) passes through \\(({-5\\over 22}., {15\\over 22})\\)<\/p>\n

\\(\\therefore\\)\u00a0 \u00a0\\(\\lambda\\) = \\(-5\\over 22\\)<\/p>\n

Substituting the value of \\(\\lambda\\) in equation (i), we get<\/p>\n

x = \\(-5\\over 22\\) or,\u00a0 22x + 5 = 0<\/p>\n

as the equation of the required line.<\/p>\n

\n

Similar Questions<\/h3>\n

Find the coordinates of the point of intersecton of the lines 2x \u2013 y + 3 = 0 and x + y \u2013 5 = 0.<\/a><\/p>\n

Find the equation of line joining the point (3, 5) to the point of intersection of the lines 4x + y \u2013 1 = 0 and 7x \u2013 3y \u2013 35 = 0.<\/a><\/p>\n

Find the equation of lines which passes through the point (3,4) and the sum of intercepts on the axes is 14.<\/a><\/p>\n

The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : On solving the equations x – 7y + 5 = 0 and 3x + y = 0 by using point of intersection formula, we get x = \\(-5\\over 22\\) and y = \\(15\\over 22\\) So, given lines intersect at \\(({-5\\over 22}., {15\\over 22})\\) Let the equation of the required line be x = …<\/p>\n

Find the equation of line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0.<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,48],"tags":[],"yoast_head":"\nFind the equation of line parallel to y-axis and drawn through the point of intersection of the lines x - 7y + 5 = 0 and 3x + y = 0.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/find-the-equation-of-line-parallel-to-y-axis-and-drawn-through-the-point-of-intersection-of-the-lines-x-7y-5-0-and-3x-y-0\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the equation of line parallel to y-axis and drawn through the point of intersection of the lines x - 7y + 5 = 0 and 3x + y = 0.\" \/>\n<meta property=\"og:description\" content=\"Solution : On solving the equations x – 7y + 5 = 0 and 3x + y = 0 by using point of intersection formula, we get x = (-5over 22) and y = (15over 22) So, given lines intersect at (({-5over 22}., {15over 22})) Let the equation of the required line be x = … Find the equation of line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0. 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