1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
If the equations x2 + bx−1 = 0 and x2 + x + b = 0 have a common root different from −1, then $$\left| b \right|$$ is equal to :
A
$$\sqrt 2$$
B
2
C
3
D
$$\sqrt 3$$
2
JEE Main 2016 (Offline)
+4
-1
The sum of all real values of $$x$$ satisfying the equation $${\left( {{x^2} - 5x + 5} \right)^{{x^2} + 4x - 60}}\, = 1$$ is :
A
$$6$$
B
$$5$$
C
$$3$$
D
$$-4$$
3
JEE Main 2015 (Offline)
+4
-1
Let $$\alpha$$ and $$\beta$$ be the roots of equation $${x^2} - 6x - 2 = 0$$. If $${a_n} = {\alpha ^n} - {\beta ^n},$$ for $$n \ge 1,$$ then the value of $${{{a_{10}} - 2{a_8}} \over {2{a_9}}}$$ is equal to :
A
$$3$$
B
$$- 3$$
C
$$6$$
D
$$- 6$$
4
JEE Main 2014 (Offline)
+4
-1
If $$a \in R$$ and the equation $$- 3{\left( {x - \left[ x \right]} \right)^2} + 2\left( {x - \left[ x \right]} \right) + {a^2} = 0$$ (where [$$x$$] denotes the greater integer $$\le x$$) has no integral solution, then all possible values of a lie in the interval :
A
$$\left( { - 2, - 1} \right)$$
B
$$\left( { - \infty , - 2} \right) \cup \left( {2,\infty } \right)$$
C
$$\left( { - 1,0} \right) \cup \left( {0,1} \right)$$
D
$$\left( {1,2} \right)$$
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