1
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
Change Language
The probability distribution of random variable X is given by :

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 ____
2
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
Change Language
Let z1 and z2 be two complex numbers such that $$\arg ({z_1} - {z_2}) = {\pi \over 4}$$ and z1, z2 satisfy the equation | z $$-$$ 3 | = Re(z). Then the imaginary part of z1 + z2 is equal to ___________.
Your input ____
3
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
Change Language
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 ____
4
JEE Main 2021 (Online) 27th August Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language
Let A (sec$$\theta$$, 2tan$$\theta$$) and B (sec$$\phi$$, 2tan$$\phi$$), where $$\theta$$ + $$\phi$$ = $$\pi$$/2, be two points on the hyperbola 2x2 $$-$$ y2 = 2. If ($$\alpha$$, $$\beta$$) is the point of the intersection of the normals to the hyperbola at A and B, then (2$$\beta$$)2 is equal to ____________.
Your input ____
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12