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Question
The ratio of the sum and product of the roots of the equation 7x2 – 12x + 18 = 0 is ______.
Options
7 : 12
7 : 18
3 : 2
2 : 3
MCQ
Fill in the Blanks
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Solution
The ratio of the sum and product of the roots of the equation 7x2 – 12x + 18 = 0 is 2 : 3.
Explanation:
Given:
7x2 – 12x + 18 = 0
∴ `α + β = 12/7` and `β = 18/7`, where α and β are the roots of the equation
∴ Ratio of the sum and product of the roots = `12/7 : 18/7`
= 12 : 18
= 2 : 3
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