Question

The value of 'a' for which one root of quadratic equation (a² – 5a + 3) x² + (3a – 1)x + 2 = 0 is twice as large as other is

• A. 2/3
• B. –2/3
• C. 1/3
• D. –1/3

Answer 1

Answer: (A)

2/3

Answer 2

Let a/b = m/n Ž b²/ac = (m+n)²/mn

i.e., (3a–1)²/(a²–5a +3)2 = (2+1)²/2.1 (As m : n = 2 : 1)

9a² – 6a + 1 = 9a² – 45a + 27 Ž 39a =26 Ž a = 2/3