1
JEE Main 2022 (Online) 26th June Morning Shift
Numerical
+4
-1
If $${\sin ^2}(10^\circ )\sin (20^\circ )\sin (40^\circ )\sin (50^\circ )\sin (70^\circ ) = \alpha - {1 \over {16}}\sin (10^\circ )$$, then $$16 + {\alpha ^{ - 1}}$$ is equal to __________.
Your input ____
2
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1
The number of values of x in the interval $$\left( {{\pi \over 4},{{7\pi } \over 4}} \right)$$ for which
$$14\cos e{c^2}x - 2{\sin ^2}x = 21 - 4{\cos ^2}x$$ holds, is ____________.
Your input ____
3
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
Let S be the sum of all solutions (in radians) of the equation $${\sin ^4}\theta + {\cos ^4}\theta - \sin \theta \cos \theta = 0$$ in [0, 4$$\pi$$]. Then $${{8S} \over \pi }$$ is equal to ____________.
Your input ____
4
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
The probability distribution of random variable X is given by :
Let p = P(1 < X < 4 | X < 3). If 5p = $$\lambda$$K, then $$\lambda$$ equal to ___________.
| X | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| P(X) | K | 2K | 2K | 3K | K |
Let p = P(1 < X < 4 | X < 3). If 5p = $$\lambda$$K, then $$\lambda$$ equal to ___________.
Your input ____
Questions Asked from Trigonometric Functions & Equations (Numerical)
Number in Brackets after Paper Indicates
No. of Questions
JEE Main 2023 (Online) 25th January Evening Shift (1)
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