1
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
2
JEE Main 2021 (Online) 25th February Morning Shift
+4
-1
The integer 'k', for which the inequality x2 $$-$$ 2(3k $$-$$ 1)x + 8k2 $$-$$ 7 > 0 is valid for every x in R, is :
A
4
B
2
C
3
D
0
3
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1
Let p and q be two positive numbers such that p + q = 2 and p4+q4 = 272. Then p and q are roots of the equation :
A
x2 – 2x + 8 = 0
B
x2 - 2x + 136=0
C
x2 – 2x + 16 = 0
D
x2 – 2x + 2 = 0
4
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
If $$\alpha$$ and $$\beta$$ are the roots of the equation
2x(2x + 1) = 1, then $$\beta$$ is equal to :
A
$$- 2\alpha \left( {\alpha + 1} \right)$$
B
$$2\alpha \left( {\alpha + 1} \right)$$
C
$$2{\alpha ^2}$$
D
$$2\alpha \left( {\alpha - 1} \right)$$
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