Home
Class 12
MATHS
If R = (7 + 4 sqrt(3))^(2n) = 1 + f , wh...

If `R = (7 + 4 sqrt(3))^(2n) = 1 + f `, where I `in` N and
` 0 lt f lt 1 ` , then R (1 - f) equals

A

(a)1

B

(b)0

C

(c)-1

D

(d)even integer

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|14 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|7 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

If (5 + 2 sqrt(6))^(n) = I + f , where I in N, n in N and 0 le f le 1, then I equals

If n is a positive integer and (3sqrt(3)+5)^(2n+1)=l+f where l is an integer annd 0 lt f lt 1 , then

If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt1 , show that I is an odd integer and (1-f)(1+f) =1

If f(x) = n , where n is an integer such that n le x lt n +1 , the range of f(x) is

Consider the binomial expansion of R = (1 + 2x )^(n) = I = f , where I is the integral part of R and f is the fractional part of R , n in N . Also , the sum of coefficient of R is 2187. If ith term is the geratest term for x= 1/3, then i equal

Consider the binomial expansion of R = (1 + 2x )^(n) = I + f , where I is the integral part of R and f is the fractional part of R , n in N . Also , the sum of coefficient of R is 2187. The value of (n+ Rf ) "for x" = (1)/(sqrt(2)) is

If R = (sqrt(2) + 1)^(2n+1) and f = R - [R] , where [ ] denote the greatest integer function, then [R] equal (a) f+1/f (b) f-1/f (c) 1/f-f (d) None of these

If (4+sqrt(15))^n=I+f, where n is an odd natural number, I is an integer and ,then a. I is an odd integer b. I is an even integer c. (I+f)(1-f)=1 d. 1-f=(4-sqrt(15))^n

Statement-1: int_(0)^(npi+v)|sin x|dx=2n+1-cos v where n in N and 0 le v lt pi . Stetement-2: If f(x) is a periodic function with period T, then (i) int_(0)^(nT) f(x)dx=n int_(0)^(T) f(x)dx , where n in N and (ii) int_(nT)^(nT+a) f(x)dx=int_(0)^(a) f(x) dx , where n in N

If f(x)=sqrt(x-4sqrt(x-4))+tan^(-1)((1-2x)/(2+x)), AA 4 lt x lt 8 , then the value of f'(5) is equal to