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1
JEE Main 2021 (Online) 18th March Morning Shift
+4
-1
Let $$\alpha$$, $$\beta$$, $$\gamma$$ be the real roots of the equation, x3 + ax2 + bx + c = 0, (a, b, c $$\in$$ R and a, b $$\ne$$ 0). If the system of equations (in u, v, w) given by $$\alpha$$u + $$\beta$$v + $$\gamma$$w = 0, $$\beta$$u + $$\gamma$$v + $$\alpha$$w = 0; $$\gamma$$u + $$\alpha$$v + $$\beta$$w = 0 has non-trivial solution, then the value of $${{{a^2}} \over b}$$ is
A
5
B
3
C
1
D
0
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
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 :