1
JEE Main 2020 (Online) 7th January Morning Slot
+4
-1
Let $$\alpha$$ and $$\beta$$ be two real roots of the equation
(k + 1)tan2x - $$\sqrt 2$$ . $$\lambda$$tanx = (1 - k), where k($$\ne$$ - 1) and $$\lambda$$ are real numbers. if tan2 ($$\alpha$$ + $$\beta$$) = 50, then a value of $$\lambda$$ is:
A
5$$\sqrt 2$$
B
10
C
5
D
10$$\sqrt 2$$
2
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
If $$\alpha$$, $$\beta$$ and $$\gamma$$ are three consecutive terms of a non-constant G.P. such that the equations $$\alpha$$x 2 + 2$$\beta$$x + $$\gamma$$ = 0 and x2 + x – 1 = 0 have a common root, then $$\alpha$$($$\beta$$ + $$\gamma$$) is equal to :
A
$$\alpha$$$$\gamma$$
B
0
C
$$\beta$$$$\gamma$$
D
$$\alpha$$$$\beta$$
3
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
The number of real roots of the equation
5 + |2x – 1| = 2x (2x – 2) is
A
2
B
1
C
3
D
4
4
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
All the pairs (x, y) that satisfy the inequality
$${2^{\sqrt {{{\sin }^2}x - 2\sin x + 5} }}.{1 \over {{4^{{{\sin }^2}y}}}} \le 1$$
also satisfy the equation
A
sin x = |sin y|
B
sin x = 2sin y
C
2 sin x = sin y
D
2 |sin x | = 3 sin y
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