{"id":6763,"date":"2021-10-21T13:59:30","date_gmt":"2021-10-21T08:29:30","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6763"},"modified":"2021-10-25T09:51:55","modified_gmt":"2021-10-25T04:21:55","slug":"the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/","title":{"rendered":"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is"},"content":{"rendered":"

Solution :<\/h2>\n

Since, Slope of line passing through two points is m = \\(y_2 – y_1\\over x_2 – x_1\\).<\/p>\n

so, slope of chord passing through two points is \\(4-(-3)\\over 3-2\\) = 7<\/p>\n

Now, Tangent line is parallel to chord. Therefore slope of tangent line is equal to slope of chord,<\/p>\n

Hence slope of tangent line is also 7.<\/p>\n


\n

Similar Questions<\/h3>\n

If the straight line 3x + 4y + 5 \u2013 k(x + y + 3) = 0 is parallel to y-axis, then the value of k is<\/a><\/p>\n

If the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3:2, then k is equal to<\/a><\/p>\n

If x + 4y \u2013 5 = 0 and 4x + ky + 7 = 0 are two perpendicular lines then k is<\/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

If p is the length of the perpendicular from the origin to the line \\(x\\over a\\) + \\(y\\over b\\) = 1, then prove that \\(1\\over p^2\\) = \\(1\\over a^2\\) + \\(1\\over b^2\\)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Since, Slope of line passing through two points is m = \\(y_2 – y_1\\over x_2 – x_1\\). so, slope of chord passing through two points is \\(4-(-3)\\over 3-2\\) = 7 Now, Tangent line is parallel to chord. Therefore slope of tangent line is equal to slope of chord, Hence slope of tangent line …<\/p>\n

The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is<\/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":"default","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":"\nThe slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is<\/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\/the-slope-of-tangent-parallel-to-the-chord-joining-the-points-2-3-and-3-4-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The slope of tangent parallel to the chord joining the points (2, -3) and (3, 4) is\" \/>\n<meta property=\"og:description\" content=\"Solution : Since, Slope of line passing through two points is m = (y_2 – y_1over x_2 – x_1). so, slope of chord passing through two points is (4-(-3)over 3-2) = 7 Now, Tangent line is parallel to chord. 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