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Question 14 (OR 1st Question) - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

If tangent to the curve y 2 + 3x − 7 = 0 at the point (ℎ, k) is parallel to line x − y = 4, then value of k is ______?

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Question 14 (OR 1st Question) If tangent to the curve y2 + 3x − 7 = 0 at the point (ℎ, k) is parallel to line x − y = 4, then value of k is ______? We know that Slope of tangent is 𝑑𝑦/𝑑𝑥 Now, y2 + 3x − 7 = 0 Differentiating w.r.t.𝑥 2y𝑑𝑦/𝑑𝑥 + 3 – 0 = 0 2y𝑑𝑦/𝑑𝑥 + 3 = 0 2y𝑑𝑦/𝑑𝑥 = –3 𝑑𝑦/𝑑𝑥 = (−3)/2𝑦 At point (h, k) Slope is 𝑑𝑦/𝑑𝑥 = (−3)/2𝑘 Now, finding slope of line x − y = 4 x − y = 4 x – 4 = y y = x – 4 Comparing with y = mx + c So, slope of line is 1 Since tangent and line are parallel Slope of tangent = 1 𝑑𝑦/𝑑𝑥 = 1 (−3)/2𝑘 = 1 –3 = 2k (−3)/2 = k k = (−𝟑)/𝟐
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2020 Boards

    CBSE Class 12 Sample Paper for 2019 Boards →
CBSE Class 12 Sample Paper for 2019 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo