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___________
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CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
Question 12 (OR 1st question) If one root of the equation (k โ 1)x2 โ 10x + 3 = 0 is the reciprocal of the other, then the value of k is___________ Let one root of equation be ฮฑ So, Other root = 1/๐ผ Now, we know that Product of roots = ๐/๐ ๐ผ ร 1/๐ผ = 3/((๐ โ 1)) 1 = 3/((๐ โ 1)) k โ 1 = 3 k = 3 + 1 k = 4 โด Value of k is 4