1
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$a \in \left( {0,{\pi \over 2}} \right)$$ be fixed. If the integral

$$\int {{{\tan x + \tan \alpha } \over {\tan x - \tan \alpha }}} dx$$ = A(x) cos 2$$\alpha $$ + B(x) sin 2$$\alpha $$ + C, where C is a

constant of integration, then the functions A(x) and B(x) are respectively :
A
$$x - \alpha $$ and $${\log _e}\left| {\cos \left( {x - \alpha } \right)} \right|$$
B
$$x + \alpha $$ and $${\log _e}\left| {\sin \left( {x - \alpha } \right)} \right|$$
C
$$x + \alpha $$ and $${\log _e}\left| {\sin \left( {x + \alpha } \right)} \right|$$
D
$$x - \alpha $$ and $${\log _e}\left| {\sin \left( {x - \alpha } \right)} \right|$$
2
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60o with the line x + y = 0. Then an equation of the line L is :
A
x + $$\sqrt 3 $$y = 8
B
$$\sqrt 3 $$x + y = 8
C
( $$\sqrt 3 $$ + 1)x + ( $$\sqrt 3 $$ – 1)y = 8 $$\sqrt 2 $$
D
( $$\sqrt 3 $$ - 1)x + ( $$\sqrt 3 $$ + 1)y = 8 $$\sqrt 2 $$
4
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The term independent of x in the expansion of
$$\left( {{1 \over {60}} - {{{x^8}} \over {81}}} \right).{\left( {2{x^2} - {3 \over {{x^2}}}} \right)^6}$$ is equal to :
A
36
B
- 108
C
- 36
D
- 72
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