Home
Class 12
MATHS
The number of solutions of the inequatio...

The number of solutions of the inequation `""^(10)C_(x-1)gt3.""^(10)C_(x)` is

A

0

B

1

C

2

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
`""^(10)C_(x-1)gt.""^(10)C_(x)rArr1/(11-x)gt3/xrArr4xgt33rArrxge9,` but `xle10`.
So x=9,10 Hence there are two solutions
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The number of values of n in N for which ""^(10)C_(n-1)gt 2(""^(10)C_(n)) is __________.

Find the solution set of the inequation (x+1)/(x+2)gt1 .

Knowledge Check

  • The number of solution of the in equation ""^10C_(x-1) gt 3. ""^10C_x is :

    A
    0
    B
    1
    C
    2
    D
    9

  • The smallest value of x satisfying the inequality ""^(10)C_(x-1)gt2.""^(10)C_(x) is.

    A
    7
    B
    10
    C
    9
    D
    8

  • The solution set of the inequation (x+11)/(x-3)gt0 is

    A
    `(-infty,-11)uu(3,infty)`
    B
    `(-infty,-10)uu(2,infty)`
    C
    `(-100,-11)uu(1,infty)`
    D
    `(-5,0)uu(3,7)`

    • Similar Questions

    Explore conceptually related problems

    solve the inequation (x +1)/(x +3)gt1

    The number of real solutions of the equation (9/10)^(x)=-3+x-x^(2) is a.2 b.0 c.1 d. none of these

    The number of solutions of the equation 2x^(log_(10)x)+3x^(log_(10)(1//x))=5 is

    The solution set of the inequation |(2x-1)/(x-1)| gt 2 , is

    The solution set of the inequation (x-1)/(x-2) gt 2, is

    Home
    Profile