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

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.