1
JEE Main 2019 (Online) 11th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :
A
(cot 2, $$\infty $$)
B
(–$$\infty $$, cot 5) $$ \cup $$ (cot 2, $$\infty $$)
C
(cot 5, cot 4)
D
(– $$\infty $$, cot 5) $$ \cup $$ (cot 4, cot 2)
2
JEE Main 2019 (Online) 11th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\sqrt 3 \widehat i + \widehat j,$$    $$\widehat i + \sqrt 3 \widehat j$$  and   $$\beta \widehat i + \left( {1 - \beta } \right)\widehat j$$ respectively be the position vectors of the points A, B and C with respect to the origin O. If the distance of C from the bisector of the acute angle between OA and OB is $${3 \over {\sqrt 2 }}$$, then the sum of all possible values of $$\beta $$ is :
A
4
B
1
C
2
D
3
3
JEE Main 2019 (Online) 11th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The circuit shown below contains two ideal diodes, each with a forward resistance of 50 $$\Omega $$. If the battery voltage is 6 V, the current through the 100 $$\Omega $$ resistance (in Amperes) is :

JEE Main 2019 (Online) 11th January Evening Slot Physics - Semiconductor Question 168 English
A
0.027
B
0.030
C
0.036
D
0.020
4
JEE Main 2019 (Online) 11th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance of 40 cm from A. If a 10 $$\Omega $$ resistor is connected in series with R1, the null point shifts by 10 cm. The resistance that should be connected in parallel with (R1 + 10) $$\Omega $$ such that the null point shifts back to its initial position is :

JEE Main 2019 (Online) 11th January Evening Slot Physics - Current Electricity Question 266 English
A
40 $$\Omega $$
B
30 $$\Omega $$
C
20 $$\Omega $$
D
60 $$\Omega $$
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