Mathematical Induction And Binomial Theorem, Popular Questions: Jee 1 year MATHS, Math

Rashmika B asked a question

Subject: Maths, asked on on 3/4/17

find the number of terms free from radical sign in the expansion of { 1+3^1/3+7^1/7}^10

Mayank Deshpande asked a question

Subject: Maths, asked on on 2/5/17

If the middle term of (1+x)^2n is the greatest term then X lies between A) n-1 and n B)n/(n+1)

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

In the binomial (2^1/3+3^-1/3)^n ,if the ratio of the 7th term from the beginning of the expansion to the 7 term from its and is 1/ 6 then n is equal to

Palak Srivastava asked a question

Subject: Maths, asked on on 14/12/17

the greatest term of the expansion(2x+5y)^13 when x=10 y=2 is

Palak Srivastava asked a question

Subject: Maths, asked on on 14/12/17

Find the term independent of x in the product (4+x+7x²)(x-(3/x))¹¹

Jennifer Philip asked a question

Subject: Maths, asked on on 15/6/16

1.3 + 3.5+5.7+...+(2n-1)(2n+1) = n(4n²+6n-1)/3

Bala asked a question

Subject: Maths, asked on on 13/6/16

MAM, I CAN'T UNDERSTAND CBSEPORTION.BCOZ, I 'AM STUDYINGMATRICBOARD.
WHAT CAN I DO?
PLZZZZZ GUIDE ME....

Aishik Saha asked a question

Subject: Maths, asked on on 14/1/17

13) The sum of:

3 {}^{n}C_{0} - 8 {}^{n}C_{1} + 13 {}^{n}C_{2} - 18 {}^{n}C_{3} + . . . u p t o (n + 1) t e r m s i s (n \geq 2) :

(A) z e r o (B) 1 (C) 2 (C) n o n e o f t h e s e

Sai Prasad B asked a question

Subject: Maths, asked on on 13/12/16

If the number of terms in the expansion of (1 - 2/x + 4/x^2 )^n is 28, then the sum of the coefficients of all the terms in this expansion, is : (1) 2187 (2) 243 (3) 729 (4) 64

Siddharth Rathore asked a question

Subject: Maths, asked on on 23/9/16

I Need Step By Step Solution To Q. 4 And Q. 5.

Shubhrajyoti Ghosh asked a question

Subject: Maths, asked on on 5/2/17

If n be positive integer, show that, algebraic sum of numerical coefficients in the expansion of (3x - 2y)ⁿis 1.
NO LINKS PLEASE

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

the expression 1/√4x+7[{1+√4x+7/2}^7 - {1- √4x+1/2}^7 ] is a polynomial in x of degree you can also see in the figure question number 5

Shubhrajyoti Ghosh asked a question

Subject: Maths, asked on on 4/2/17

If the coefficients of x² and x¹¹ in the binomial expansion of (1+ax+2x²) be 27 and (-192) respectively, show that, a= -1
NO LINKS PLEASE

Palak Srivastava asked a question

Subject: Maths, asked on on 29/12/17

if the coefficients of (r+1)th term in the expansion of (1+x)^2n be equal to that of (r+3)th term then prove that n-r-1=0

Palak Srivastava asked a question

Subject: Maths, asked on on 14/12/17

In the binomial (2^1/3+3^-1/3)^n if the ratio of the seventh term from the beginning of the expansion to the seventh term from its end is 1/6 , then n equals to
a] 6
b] 9
c] 12
d] 15

Annette Elsa asked a question

Subject: Maths, asked on on 8/6/16

Let .P(n) be a statement: 2ⁿ < n, n e N . Show that the statement is not true for any n.

Anshu Singh asked a question

Subject: Maths, asked on on 21/6/16

In an office, 37 people prefer x drink, 32 prefer y drink and 41 prefer z drink. 5 people prefer all type of drink and 15 people prefer at least two type of drinks. If each of the people in office prefer at least one type of drink, then calculate the total no. of people in office.
The solution stated that at least 2 means 2 or more than 2. But the expression written for this purpose subtracts
2n(x intersect y intersect z)
Pl explain why 2n(x intersect y intersect z) is being subtracted

Shivam asked a question

Subject: Maths, asked on on 23/9/17

hello sir!, i have a dought in a question of binomial theorem(1)
Q- find the coefficient of x^20 in (1+3x+3x^2+x^3).

Sir, you did this question in live class of B.T (I) at 51:16 , you took (x+1)^60 that i got but solve it from (1+x)^60 as my answer is coming ^60C_20 from that. Thanks

Manideep Varma asked a question

Subject: Maths, asked on on 21/11/16

the center of the circle passing through (0,0) and (1,0) and touching the circle x^2+y^2=9 is

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

Hurry tell this ques by writing all statements

Noel Saji asked a question

Subject: Maths, asked on on 24/8/17

Hello sir this is Noel Saji a new student for jee, i have a doubt in this question

(x+1/x2/3-x1/3 - x-1/x-x1/2 )

Aishik Saha asked a question

Subject: Maths, asked on on 14/1/17

Q 13 pls help.
Q13. If

3 . {}^{n}C_{0} - 8 . {}^{n}C_{1} + 13 . {}^{n}C_{2} - 18 . {}^{n}C_{3} + . . . . .

upto

(n + 1)

terms is

(n \geq 2)

:
(A) zero
(B) 1
(C) 2
(D) none of these

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

Test yourself 2nd part

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

Hurry tell this ques by writing all statements

Vidhi Maheshwari asked a question

Subject: Maths, asked on on 22/8/17

if the coff. of the (r-1)th, rth, (r+1)th terms in the expansion of (x+1)^n are in the ratio 1:3:5.find n and r

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

Hurry tell this ques by writing all statements

Rohit asked a question

Subject: Maths, asked on on 10/7/16

Prove by the principle of matchematical induction that for all n belongs to N 5^2n div by 6 gives1 as remainder whereas 5^2n-1 on div by 6 always give 5 as remainder

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

Hurry tell this ques by writing all statements solve all

Shashank Jain asked a question

Subject: Maths, asked on on 5/8/17

Hurry tell this ques by writing all statements solve all

Aishik Saha asked a question

Subject: Maths, asked on on 14/1/17

(-1)^r how does that cone

Aastha Adhikari asked a question

Subject: Maths, asked on on 23/1/20

prove using pmi:
1^3+2^3+3^3+__________+n^3 = [n(n+1)/2]^2

Jennifer Philip asked a question

Subject: Maths, asked on on 28/7/16

in mathematical induction will it be wrong to prove from RHS to LHS in n=k+1