{"id":539988,"date":"2023-04-23T01:36:02","date_gmt":"2023-04-22T20:06:02","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/to-find-the-point-of-contact-p%e2%89%a1x1y1-of-a-tangent-to-the-graph-of-yfx-passing-through-origin-o-we-equate-the-slope-of-tangent-to-yfx-at-p-to-the-slope-of-o-2\/"},"modified":"2025-06-20T13:28:28","modified_gmt":"2025-06-20T07:58:28","slug":"to-find-the-point-of-contact-p%e2%89%a1x1y1-of-a-tangent-to-the-graph-of-yfx-passing-through-origin-o-we-equate-the-slope-of-tangent-to-yfx-at-p-to-the-slope-of-o-2","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/to-find-the-point-of-contactpx1y1of-a-tangent-to-the-gra\/","title":{"rendered":"To find the point of contact\u00a0P\u2261x1,y1\u00a0of a tangent to the graph of\u00a0y=f(x)\u00a0passing through origin O, we equate the slope of tangent to\u00a0y=f(x)\u00a0at P to the slope of OP. Hence, we solve the equation\u00a0f’x1=fx1x1\u00a0to get\u00a0x1\u00a0amd\u00a0yr"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"To find the point of contact\u00a0P\u2261x1,y1\u00a0of a tangent to the graph of\u00a0y=f(x)\u00a0passing through origin O, we equate the slope of tangent to\u00a0y=f(x)\u00a0at P to the slope of OP. Hence, we solve the equation\u00a0f'x1=fx1x1\u00a0to get\u00a0x1\u00a0amd\u00a0yr","custom_permalink":"question\/mathematics\/to-find-the-point-of-contactpx1y1of-a-tangent-to-the-gra\/"},"categories":[],"acf":{"question":"To find the point of contact\u00a0P\u2261x1,y1\u00a0of a tangent to the graph of\u00a0y=f(x)\u00a0passing through origin O, we equate the slope of tangent to\u00a0y=f(x)\u00a0at P to the slope of OP. Hence, we solve the equation\u00a0f'x1=fx1x1\u00a0to get\u00a0x1\u00a0amd\u00a0yr","options":null,"solution":"

The rate of formation of the brown-coloured tri-iodide ion tΔI3−\/Δt can be determined by measuring the rate of appearance of the colour. Given the initial rate data at 25°C, we can analyze how the concentration of H2O2 and I− affect the rate.<\/p>\r\n

From the data:<\/p>\r\n

    \r\n
  1. Experiment 1: [H2O2]= 0.100[I−]=0.100 M, Initial rate = 1.15×10−41.15 \\times 10^{-4}1.15×10−4 M\/s<\/li>\r\n
  2. Experiment 2: [H2O2] = 0.200[I−]=0.200 M, Initial rate = 2.30×10−42.30 \\times 10^{-4}2.30×10−4 M\/s<\/li>\r\n
  3. Experiment 3: [H2O2]= 0.100[I−]=0.100 M, Initial rate = 2.30×10−42.30 \\times 10^{-4}2.30×10−4 M\/s<\/li>\r\n
  4. Experiment 4: [H2O2]= 0.200[I−]=0.200 M, Initial rate = 4.60×10−44.60 \\times 10^{-4}4.60×10−4 M\/s<\/li>\r\n<\/ol>","subject":"Mathematics"},"yoast_head":"\nTo find the point of contact\u00a0P\u2261x1,y1\u00a0of a tangent to the graph of\u00a0y=f(x)\u00a0passing through origin O, we equate the slope of tangent to\u00a0y=f(x)\u00a0at P to the slope of OP. Hence, we solve the equation\u00a0f'x1=fx1x1\u00a0to get\u00a0x1\u00a0amd\u00a0yr - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"To find the point of contact\u00a0P\u2261x1,y1\u00a0of a tangent to the graph of\u00a0y=f(x)\u00a0passing through origin O, we equate the slope of tangent to\u00a0y=f(x)\u00a0at P to the slope of OP. 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