Home
Class 12
MATHS
If the fourth term in the binomial expan...

If the fourth term in the binomial expansion of ` (sqrt ((1)/(x ^( 1 + log _10x) )) + x ^((1)/(12)) ) ^ 6 ` is equal to 200 , and ` x gt 1 `, then the value of ` x ` is :

A. ` 10 ^ 4 `
B. `10 ^(3) `
C. `100`
D. None of these

A

` 10 ^ 4 `

B

`10 ^(3) `

C

`100`

D

None of these

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( x \) such that the fourth term in the binomial expansion of \[ \left( \sqrt{\frac{1}{x^{1 + \log_{10} x}}} + x^{\frac{1}{12}} \right)^6 \] is equal to 200, given that \( x > 1 \). ...
Promotional Banner

Topper's Solved these Questions

  • JEE Main Revision Test-9 | JEE-2020

    VMC MODULES ENGLISH|Exercise SECTION 2|5 Videos

  • JEE Main Revision Test-6 | JEE-2020

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

Find the 10th term in the binomial expansion of (2x^2+1/x)^(12)dot

Find the 10th term in the binomial expansion of (2x^2+1/x)^(12)dot

If the fourth term in the binomial expansin of ((2)/(x) + x^(log_(8) x))^(6) (x gt 0) is 20 xx 8^(7) , then the value of x is

Constant term in the expansion of ( x- (1)/(x)) ^(10) is

Greatest term in the binomial expansion of (a + 2x)^9 when a=1 & x =1/3 is :

If the constant term of the binomial expansion (2x -1/x)^n is -160 , then n is equal to -

If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N is 15, then find the value of n .

If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N is 15, then find the value of n .

If the third term in the binomial expansion of (1+x^(log_(2)x))^(5) equals 2560, then a possible value of x is:

If the middle term in the binomial expansion of ((1)/(x) + x sin x )^(10) is ( 63)/( 8) , then the value of 6sin^(2) x +sin x -2 is