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If one root of the equation (k − 1)x 2 − 10x + 3 = 0 is the reciprocal of the other, then the value of k is___________

If one root of equation (k - 1)x^2 − 10x + 3 = 0 is reciprocal of

Question 12 (OR 1st question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 2

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Question 12 (OR 1st question) If one root of the equation (k − 1)x2 − 10x + 3 = 0 is the reciprocal of the other, then the value of k is___________ Let one root of equation be α So, Other root = 1/𝛼 Now, we know that Product of roots = 𝑐/𝑎 𝛼 × 1/𝛼 = 3/((𝑘 − 1)) 1 = 3/((𝑘 − 1)) k – 1 = 3 k = 3 + 1 k = 4 ∴ Value of k is 4

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.