In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option:

I. $4 x^{2} + 2 x - 30 = 0$
II. $3 y^{2} + 33 y + 72 = 0$

if x > y

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if x < y

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if x

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if x

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if x = y or relationship between x and y cannot be determined

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Solution

The correct option is C if xy
$4 x^{2} + 2 x - 30 = 0 \Rightarrow (2 x - 5) (2 x + 6) = 0 \Rightarrow x = \frac{5}{2}, - 3 3 y^{2} + 33 y + 72 = 0 \Rightarrow y = - 3, - 8 ∴ y \leq x$

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