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Question
If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
Options:
A .  3
B .  4
C .  5
D .  6
E .  None of these
Answer: Option A


Let the roots of the equation 2a and 3a respectively.
2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
Product of the roots: 6a2 = b/2 => b = 12a2
a = 1/2, b = 3.



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