Home
Class 8
MATHS
The number of integers x for which the n...

The number of integers x for which the number `sqrt(x^(2)+x+1)` is rational is:

A

infinite

B

one

C

two

D

three

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NUMBERS

    S CHAND IIT JEE FOUNDATION|Exercise Question Bank|30 Videos
  • MATRICES

    S CHAND IIT JEE FOUNDATION|Exercise UNIT TEST -2|20 Videos
  • PERCENTAGE AND ITS APPLICATIONS

    S CHAND IIT JEE FOUNDATION|Exercise SELFT ASSESMENT SHEET (SECTION-C DISCOUNT )|10 Videos

Similar Questions

Explore conceptually related problems

(x+y)/(2) is a rational number.

Find the number of positive integers x for which f(X)=x^(3)-8x^(2)+20x-13, is a prime number.

The number of integer satisfying the inequality (x)/(x+6)<(1)/(x) is :

The number of integer values of x for which the inequality "log "_(10) ((2x-2007)/(x+1))ge0, is true, is

Total number of positive integers x for which f(x)=x^(3)-8x^(2)+20x-13 is a prime number,is 1( b) 2(c)3 (d) 4

Total number of positive integers x for which f(x)=x^(3)-8x^(2)+20x-13 is prime number,is 1 b.2 c.3 d.4

The number of solutions for the equation 2 sin^(-1)(sqrt(x^(2) - x + 1)) + cos^(-1)(sqrt(x^(2) - x) )= (3pi)/(2) is

Number of integers in the domain of f(x)=sqrt((4-|x|)/(|x|-2)) are

Are the following pairs of statements negations of each other: (i) The number x is not a rational number.The number x is not an irrational number.(ii) The number x is a rational number.The number x is an irrational number.

Number of positive integers x for which f(x)=x^(3)-8x^(2)+20x-13 is a prime number is