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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___________

Last updated at Nov. 1, 2019 by Teachoo

Transcript

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

CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard

Paper Summary

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Question 12 (OR 1st question) You are here

Question 12 (OR 2nd question)

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Question 23 (OR 1st question) Important

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Question 32 (OR 1st question) Important

Question 32 (OR 2nd question) Important

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Question 35 (OR 1st question) Important

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Class 10

Solutions of Sample Papers for Class 10 Boards

- CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
- CBSE Class 10 Sample Paper for 2021 Boards - Maths Basic
- CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
- CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
- CBSE Class 10 Sample Paper for 2019 Boards
- CBSE Class 10 Sample Paper for 2018 Boards

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.