Home
Test SeriesNEW!
New AppNEW!
About Us

Virat Batch 2027
Champion Batch 2028
Divine JEE 1-on-1

Contact Us
Knowledge Check

Two number k1 and k2 are randomly chosen from the set of nat: (Mathematics) | DivineJEE

Home
Test SeriesNEW!
New AppNEW!
About Us

Virat Batch 2027
Champion Batch 2028
Divine JEE 1-on-1

Contact Us
Knowledge Check

Mathematics

Exam

Mathematics

Two number

k_1

and

k_2

are randomly chosen from the set of natural numbers. Then, the probability that the value of

i^{k_1} + j^{k_2}, (i = \sqrt{-1})

is non-zero, equals:

A

\frac{1}{2}

B

\frac{3}{4}

C

\frac{1}{7}

D

\frac{2}{3}

Select an option to instantly check whether it is correct or wrong.

Picture of the author

Related Questions

The area enclosed by the curves xy+4y=16 and x+y=6 is equal to :

The area of the region enclosed by the parabolas y=4x-x^2 and 3y=(x-4)^2 is equal to

The integral int_0^1 \frac{1}{7^{\left[\frac{1}{x}\right]}} {dx}, where [.] denotes the greatest integer function is equal to

For (2 leq r leq n,binom{n}{r} + 2binom{n}{r - 1} + binom{n}{r - 2} =)

Let Z be the set of integers. If A = { x in Z:2^{(x + 2) ( x^{2} - 5x + 6 )} = 1 } and = { x in Z : - 3 < 2x - 1 < 9}, then the . number of subsets of the set A X B is

For integers n and r let n r nCr ifn ge r ge 0 0 otherwise

Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated, is

The minimum number of elements that must be added to the relation R = {(a,b),(b,c),(b,d)} on the set { a,b,c,d} so that it is an equivalence relation is

Let A = { 1,3,4,6,9} and B = { 2,4,5,8,10}. Let R be a relation defined on A X B such that R = {( ( a_{1},b_{1} ), ( a_{2},b_{2} )):a_{1} ? b_{2} and b_{1} ? a_{2}}. Then the number of elements in the set R is

Area of the region (x,y):x^2+(y-2)^2≤4,x^2≥2y is

Download Divine JEE App

Learn on the go with our mobile app. Access courses, live classes, and study materials anytime, anywhere.

Divine JEE App Preview

Empowering students to achieve their IIT dreams through personalized learning and expert guidance.

Quick Links

About Us
Courses
Contact Us
Knowledge Check
Blogs

Exam Categories

JEE Main
JEE Advanced
NEET
BITS Pilani

Contact Info

contact.divinejee@gmail.com
+91 9137402346
2nd floor, C, 10, Mahant Swami Marg, nr. Pratap Stadium, Chitrakoot, Jaipur, Rajasthan 302021

Copyright © 2026 Divine JEE. All Rights Reserved.

Divine JEE