In each of these questions two equations are given. You have to solve these equations and give answer
I. $10 x^{2} - 7 x + 1 = 0$
II. $35 y^{2} - 12 y + 1 = 0$

x < y

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x > y

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x = y

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x \geq y

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x \leq y

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Solution

The correct option is D If $x \geq y$
I. $10 x^{2} - 7 x + 1 = 0$
or, $10 x^{2} - 5 x - 2 x + 1 = 0$
or, $(2 x - 1) (5 x - 1) = 0$
or, $x = \frac{1}{2}, \frac{1}{5}$

II. $35 y^{2} - 12 y + 1 = 0$
or, $35 y^{2} - 7 y - 5 y + 1 = 0$
or, $(5 y - 1) (7 y - 1) = 0$ or,
$y = \frac{1}{5}, \frac{1}{7}$
Hence, $x \geq y$

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