Given two quadratic equations: Equation I: p x 2 − 9 x + 7 = 0 p x^2 - 9x + 7 = 0 p x 2 − 9 x + 7 = 0 Equation II: q y 2 − 8 y + 4 = 0 q y^2 - 8y + 4 ...

Banking RBI Grade B Prelims Medium Number System (including HCF LCM) MCQ

Question

Given two quadratic equations:

Equation I: $p x^2 - 9x + 7 = 0$

Equation II: $q y^2 - 8y + 4 = 0$

where $p$ and $q$ are positive integers, and one root of Equation II is $\frac{2}{3}$ . The ratio of the highest root of Equation I to the highest root of Equation II is $7 : 4$ .

Find the ratio of the smallest root of Equation I to the smallest root of Equation II.

Options

1 : 2

1 : 3

2 : 3

3 : 2

3 : 4

quadratic equationsrootsratioalgebra

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Given two quadratic equations: Equation I: p x 2 − 9 x + 7 = 0 p x^2 - 9x + 7 = 0 p x 2 − 9 x + 7 = 0 Equation II: q y 2 − 8 y + 4 = 0 q y^2 - 8y + 4 ...

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