Home
Class 12
MATHS
Which of the following are true for the ...

Which of the following are true for the inequation `(x-1)(x-2)(x-4)(x-9)(x-12)lt=0?` (a)Number of natural numbers satisfying the inequation are 8. (b)Number of prime numbers satisfying the inequation are 3. (c)Number of composite numbers satisfying the inequation are 4.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Consider the equation x^3-3x^2+2x=0, then (a)Number of even integers satisfying the equation is 2 (b)Number of odd integers satisfying the equation is 1 (c)Number of odd prime natural satisfying the equation is 1 (d)Number of composite natural numbers satisfying the equation is 1

The number of integers satisfying the inequality is x/(x+6)<=1/x

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

Solve the inequality (x-1)(x+4)(x+2)lt0 .

Number of intergers satisfying the inequality x^4- 29x^2+100 le 0 is

The set of all real numbers satisfying the inequation 2^(x)+2^(|x|) gt 2sqrt(2) , is

Number of integers satisfying the inequality log_((x+3))(x^2-x) lt 1 is

Number of integers satisfying the inequality (1/3)^(|x+2|/(2-|x|)) > 9 is

Number of integers satisfying the inequality (log)_(1/2)|x-3|>-1 is.....

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x in (...

    Text Solution

    |

  2. Which pair(s) of function(s) is/are equal? f(x) = cos(2tan^-1 x) ;g(x)...

    Text Solution

    |

  3. Which of the following are true for the inequation (x-1)(x-2)(x-4)(x-9...

    Text Solution

    |

  4. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

    Text Solution

    |

  5. Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a) ...

    Text Solution

    |

  6. If domain of f(x) be (-1, 2), then (1) domain of f(sin x) will be (-o...

    Text Solution

    |

  7. If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b c+c ...

    Text Solution

    |

  8. If f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x) is a function having the same...

    Text Solution

    |

  9. The greatest ' x ' satisfying the inequation (2x+1)/3-(3x-1)/2>1 is: ...

    Text Solution

    |

  10. If (x-1)(x-3)(x+2)(x-5)>0 then ' x^(prime) can be [6,8] (b) [2, 3] (c...

    Text Solution

    |

  11. Number of composite numbers less than 20 which are coprime with 4 s...

    Text Solution

    |

  12. Number of integrs less than 15 satisfying the equation 2^(|x+1|)-2^x=...

    Text Solution

    |

  13. If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx) at x=0 is

    Text Solution

    |

  14. The least value of x satisfying the equation 2^(|x+1|)-2^x=|2^x-1|+1...

    Text Solution

    |

  15. if f(x)=4x^3-x^2-2x+1 and g(x)={min f(t): 0<=t<=x; 0<=x<=1, 3-x : 1...

    Text Solution

    |

  16. Let a and b be the number of solutions and sum of solutions of (2x)/(x...

    Text Solution

    |

  17. If xcosy+ycosx=pi then the value of y' '(0) is equal to pi (b) -pi (...

    Text Solution

    |

  18. The simultaneous equations, y=x+2|x| & y=4+x-|x| have the solution se...

    Text Solution

    |

  19. If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...

    Text Solution

    |

  20. Minimum vlaue of |x-p| + |x-15| +|x-p-15|. If p le x le 15 and 0 lt p ...

    Text Solution

    |