Question 12 (OR 1st question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by Teachoo

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

Next: Question 12 (OR 2nd question) → Go Ad-free

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

Made by

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

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular