1
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
The set of all real values of $$\lambda$$ for which the quadratic equations,
($$\lambda$$2 + 1)x2 – 4$$\lambda$$x + 2 = 0 always have exactly one root in the interval (0, 1) is :
A
(–3, –1)
B
(2, 4]
C
(0, 2)
D
(1, 3]
2
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
If $$\alpha$$ and $$\beta$$ are the roots of the equation
x2 + px + 2 = 0 and $${1 \over \alpha }$$ and $${1 \over \beta }$$ are the
roots of the equation 2x2 + 2qx + 1 = 0, then
$$\left( {\alpha - {1 \over \alpha }} \right)\left( {\beta - {1 \over \beta }} \right)\left( {\alpha + {1 \over \beta }} \right)\left( {\beta + {1 \over \alpha }} \right)$$ is equal to :
A
$${9 \over 4}\left( {9 - {q^2}} \right)$$
B
$${9 \over 4}\left( {9 + {q^2}} \right)$$
C
$${9 \over 4}\left( {9 - {p^2}} \right)$$
D
$${9 \over 4}\left( {9 + {p^2}} \right)$$
3
JEE Main 2020 (Online) 2nd September Evening Slot
+4
-1
Let f(x) be a quadratic polynomial such that
f(–1) + f(2) = 0. If one of the roots of f(x) = 0
is 3, then its other root lies in :
A
(–3, –1)
B
(1, 3)
C
(–1, 0)
D
(0, 1)
4
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
Let $$\alpha$$ and $$\beta$$ be the roots of the equation
5x2 + 6x – 2 = 0. If Sn = $$\alpha$$n + $$\beta$$n, n = 1, 2, 3...., then :
A
5S6 + 6S5 = 2S4
B
5S6 + 6S5 + 2S4 = 0
C
6S6 + 5S5 + 2S4 = 0
D
6S6 + 5S5 = 2S4
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