Let the coefficients of the middle terms in the expansion of and , respectively form the first three terms of an A.P. If d is the common difference of this A.P. , then is equal to __________. ...

Coefficients of middle terms of given expansions are ^4C_21 6 ^2,\,^2C_1( - 3 ),\,^6C_3( - 2 )^3 form an A.P. 2.2( - 3 ) = ^2 - 5 ^3 2 - 24 = 2 - 5 ^2 5 ^2 - 2 - 24 = 0 5 ^2 - 12 + 10 - 24 = 0 (5 - 12) + 2(5 - 12) = 0 = 12 5 d = - 6 - ^2 ...

Let the coefficients of the middle terms in the expansion of: null (Mathematics)

Let the coefficients of the middle terms in the expansion of $\left(\frac{1}{\sqrt{6}}+\beta x\right)^{4},(1-3 \beta x)^{2}$ and $\left(1-\frac{\beta}{2} x\right)^{6}, \beta>0$ , respectively form the first three terms of an A.P. If d is the common difference of this A.P. , then $50-\frac{2 d}{\beta^{2}}$ 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 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

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

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

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

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 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} =)

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

Download Divine JEE App

Quick Links

Exam Categories

Contact Info

Divine JEE