1
JEE Main 2021 (Online) 20th July Morning Shift
+4
-1
If $$\alpha$$ and $$\beta$$ are the distinct roots of the equation $${x^2} + {(3)^{1/4}}x + {3^{1/2}} = 0$$, then the value of $${\alpha ^{96}}({\alpha ^{12}} - 1) + {\beta ^{96}}({\beta ^{12}} - 1)$$ is equal to :
A
56 $$\times$$ 325
B
56 $$\times$$ 324
C
52 $$\times$$ 324
D
28 $$\times$$ 325
2
JEE Main 2021 (Online) 18th March Morning Shift
+4
-1
The value of $$3 + {1 \over {4 + {1 \over {3 + {1 \over {4 + {1 \over {3 + ....\infty }}}}}}}}$$ is equal to
A
1.5 + $$\sqrt 3$$
B
2 + $$\sqrt 3$$
C
3 + 2$$\sqrt 3$$
D
4 + $$\sqrt 3$$
3
JEE Main 2021 (Online) 17th March Morning Shift
+4
-1
The value of $$4 + {1 \over {5 + {1 \over {4 + {1 \over {5 + {1 \over {4 + ......\infty }}}}}}}}$$ is :
A
2 + $${2 \over 5}\sqrt {30}$$
B
2 + $${4 \over {\sqrt 5 }}\sqrt {30}$$
C
5 + $${2 \over 5}\sqrt {30}$$
D
4 + $${4 \over {\sqrt 5 }}\sqrt {30}$$
4
JEE Main 2021 (Online) 25th February Evening Shift
+4
-1
Let $$\alpha$$ and $$\beta$$ be the roots of x2 $$-$$ 6x $$-$$ 2 = 0. If an = $$\alpha$$n $$-$$ $$\beta$$n for n $$\ge$$ 1, then the value of $${{{a_{10}} - 2{a_8}} \over {3{a_9}}}$$ is :
A
3
B
2
C
4
D
1
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