If ω ≠ 1 Is A Cube Root Of Unity And (ω + x)n = 1 + 12ω + 69ω +…. Then Values Of n and x are Respectively.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

If ω ≠ 1 is a cube root of unity and (ω + x)n = 1 + 12ω + 69ω +…. Then values of n and x are respectively.

easy

Solution

Correct option is

24, 1/2

As ωn = 1, n must be a multiple of 3. Let n = 3m. Then

Thus, n = 24 and x = 1/2

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

The expression [x + (x³ - 1)^1/2]⁵ + [x – (x³ – 1)^1/2]⁵ is a polynomial of degree

easy View solution

Q2

The degree of the polynomial

is equal to

easy View solution

Q3

where {x} = Fractional part of x then the value of sec ^–1 (8θ) is

easy View solution

Q4

The remainder left out when 82n – (62)²ⁿ⁺¹ is divided by 9 is

easy View solution

Q5

medium View solution

Q6

easy View solution

Q7

Sum of the last 30 coefficients in the expansion of (1 + x)⁵⁹ when expanded in ascending powers of x is

medium View solution

Q8

then k is equal to:

diffcult View solution

Q9

is maximum when m is

easy View solution

Q10

If ω ≠ 1, is nth root of unity, and then value of x is

easy View solution