1
JEE Main 2021 (Online) 24th February Morning Slot
+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
2
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
$$2\alpha \left( {\alpha - 1} \right)$$
3
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
If $$\alpha$$ and $$\beta$$ be two roots of the equation
x2 – 64x + 256 = 0. Then the value of
$${\left( {{{{\alpha ^3}} \over {{\beta ^5}}}} \right)^{1/8}} + {\left( {{{{\beta ^3}} \over {{\alpha ^5}}}} \right)^{1/8}}$$ is :
A
1
B
3
C
2
D
4
4
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If $$\alpha$$ and $$\beta$$ are the roots of the equation,
7x2 – 3x – 2 = 0, then the value of
$${\alpha \over {1 - {\alpha ^2}}} + {\beta \over {1 - {\beta ^2}}}$$ is equal to :
A
$${1 \over {24}}$$
B
$${{27} \over {32}}$$
C
$${{27} \over {16}}$$
D
$${3 \over 8}$$
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