jee-main 2013 Q61

jee-main · India · 23apr Inequalities Solve Polynomial/Rational Inequality for Solution Set
The least integral value $\alpha$ of $x$ such that $\frac { x - 5 } { x ^ { 2 } + 5 x - 14 } > 0$, satisfies :
(1) $\alpha ^ { 2 } + 3 \alpha - 4 = 0$
(2) $\alpha ^ { 2 } - 5 \alpha + 4 = 0$
(3) $\alpha ^ { 2 } - 7 \alpha + 6 = 0$
(4) $\alpha ^ { 2 } + 5 \alpha - 6 = 0$ 
The least integral value $\alpha$ of $x$ such that $\frac { x - 5 } { x ^ { 2 } + 5 x - 14 } > 0$, satisfies :\\
(1) $\alpha ^ { 2 } + 3 \alpha - 4 = 0$\\
(2) $\alpha ^ { 2 } - 5 \alpha + 4 = 0$\\
(3) $\alpha ^ { 2 } - 7 \alpha + 6 = 0$\\
(4) $\alpha ^ { 2 } + 5 \alpha - 6 = 0$
Paper Questions
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