The number of positive integers k such that the constant ter: null (Mathematics) Question | DivineJEE | DivineJEE

Home
Test SeriesNEW!
New AppNEW!
About Us

Crash Course

Contact Us
Knowledge Check

Mathematics

Mathematics

The number of positive integers k such that the constant term in the binomial expansion of ${\left( {2{x^3} + {3 \over {{x^k}}}} \right)^{12}}$ , x $\ne$ 0 is 2⁸ . l, where l is an odd integer, is ______________.

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

The area enclosed by the curves xy+4y=16 and x+y=6 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

Consider the following relations: R = |(x,y)|x,y are real numbers and x = wy for some rational mumber w/; S = { ( frac{m}{n},frac{p}{q} )| m,n,p and q are integers such that n,q X 0 and qm = pm}. Then

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

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

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

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

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

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

Let P(S) denote the power set of S = { 1,2,3,...,10}. Define the relations R_{1} and R_{2} on P(S) as AR_{1}B if ( A cap B^{C} ) cup ( B cap A^{C} ) = phi and AR_{2}B if cup B^{C} = B cup A^{C},forall A,B in P(S). Then

Download Divine JEE App

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

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