1

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 ____

2

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 ____

3

JEE Main 2021 (Online) 27th August Evening Shift

Numerical

+4

-1

Let z

_{1}and z_{2}be two complex numbers such that $$\arg ({z_1} - {z_2}) = {\pi \over 4}$$ and z_{1}, z_{2}satisfy the equation | z $$-$$ 3 | = Re(z). Then the imaginary part of z_{1}+ z_{2}is equal to ___________.Your input ____

4

JEE Main 2021 (Online) 27th August Evening Shift

Numerical

+4

-1

Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A $$ \subseteq $$ S : A $$\ne$$ $$\phi$$ and the sum of all the elements of A is not a multiple of 3} is _______________.

Your input ____

Questions Asked from Trigonometric Functions & Equations (Numerical)

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