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In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer
I. \( \Large x^{2} \) - x - 12 = 0
II. \( \Large y^{2} \) + 5y + 6 = 0
A) x > y
B) x \( \Large \geq \) y
C) x < y
D) x \( \Large \leq \) y
Correct answer:
B) x \( \Large \geq \) y
Description for Correct answer:
I. \( \Large x^{2} \) - x - 12 = 0
=> \( \Large x^{2} \) - 4x + 3x - 12 = 0
=> x ( x - 4 ) + 3 (x - 4 ) = 0
=> ( x - 4 )( x + 3 ) = 0
\( \Large \therefore \) x = 4 or -3
II. \( \Large y^{2} \) + 5y + 6 = 0
=> \( \Large y^{2} \) + 3y + 2y + 6 = 0
=> y ( y + 3 ) + 2 ( y + 3 ) = 0
=> ( y + 3 ) ( y + 2 ) = 0
\( \Large \therefore \) y = -3 or -2
Clearly, x \( \Large \geq \) y
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