If the constant term, in binomial expansion of is 180, then r is equal to __________________....

( 2x^r + 1 x^2 )^10 General term = ^10C_R(2x^2)^10 - Rx^ - 2R 2^10 - R^10C_R = 180 ....... (1) And (10 R)r 2R = 0 r = 2R 10 - R r = 2(R - 10) 10 - R + 20 10 - R r = - 2 + 20 10 - R ....... (2) R = 8 or 5 reject equation (1) not satisfied At R = 8 2^10 - R^10C_R = 180 r = 8...

Home
Test SeriesNEW!
New AppNEW!
About Us

Courses

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

Contact Us
Knowledge Check

Test Series

If the constant term in binomial expansion of 2xr 1 x2 10 is: null (Mathematics) | DivineJEE

Home
Test SeriesNEW!
New AppNEW!
About Us

Courses

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

Contact Us
Knowledge Check

Test Series

Mathematics

Exam

Mathematics

If the constant term, in binomial expansion of

{\left( {2{x^r} + {1 \over {{x^2}}}} \right)^{10}}

is 180, then r is equal to __________________.

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

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

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

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

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

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

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

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

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 (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

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