Home
Class 12
MATHS
If r is a real number |r| lt 1 and if a=...

If r is a real number |r| `lt` 1 and if a= 5(1-r) , then

A

`0 lt a lt 5 `

B

`-5 lt a lt 5`

C

`0 lt a lt 10`

D

`0 le a lt 10`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|26 Videos
  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos
  • LINEAR PROGRAMMING

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

If p, q, r are any real numbers, then (A) max (p, q) lt max (p, q, r) (B) min(p,q) =1/2 (p+q-|p-q|) (C) max (p, q) < min(p, q, r) (D) None of these

If the expression (1 + ir)^3 is of the form of s(1+ i) for some real 's' where 'r' is also real and i = sqrt(-1) then the value of r can be

If R is the set of all real numbers, what do the cartesian products R xx R and R xx R xx R represent?

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q ?

If I is the incenter of Delta ABC and R_(1), R_(2), and R_(3) are, respectively, the radii of the circumcircle of the triangle IBC, ICA, and IAB, then prove that R_(1) R_(2) R_(3) = 2r R^(2)

Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then prove tha |z|=1.

Let A={ 1,2,3,4} , B={1,4,5} be two sets . If R is the relation '' lt '' from A to B , then Write R in roster form

Let A={ 1,2,3,4} , B={1,4,5} be two sets . If R is the relation '' lt '' from A to B , then Write the domain and range of R.

Let f(x)=a sin x+c , where a and c are real numbers and a>0. Then f(x)lt0, AA x in R if

Let R be the set of real numbers. Statement 1: A={(x,y) in R xx R : y-x is an integer} is an equivalence relation on R. Statement 2: B= {x,y} in Rxx R : x=alpha y for some rational number alpha } is an equivalence relation on R.

NEW JOYTHI PUBLICATION-LINEAR INEQUALITIES-QUESTIONS FROM COMPETITIVE EXAMS
  1. The shaded region shown in the figure is given by the inequations

    Text Solution

    |

  2. The set of all x satisying the inequility (4x-1)/(3x+1) ge 1 is

    Text Solution

    |

  3. The set of values of x satisfying 2 le | x-3| lt 4 is

    Text Solution

    |

  4. Number of integral solutions of (x+2)/(x^2 + 1) gt 1/2 is

    Text Solution

    |

  5. If r is a real number |r| lt 1 and if a= 5(1-r) , then

    Text Solution

    |

  6. Suppose a,b and c are real numbers such that a/b gt 1 and a/c lt 0 . W...

    Text Solution

    |

  7. If x^2 + 2x + n gt 10 for all real number x, then which of the followi...

    Text Solution

    |

  8. The set of admissible value of x such that (2x+3)/(2x-9) lt 0 is

    Text Solution

    |

  9. If x satisfies the inequations 2x - 7 lt 11 , 3x + 4 lt -5 , then x l...

    Text Solution

    |

  10. The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge 0 i...

    Text Solution

    |

  11. The solution set of the inequation (x+11)/(x-3) gt 0 is

    Text Solution

    |

  12. If 3 le 3t - 18 le 18 , then which one of the following is true ?

    Text Solution

    |

  13. If |2x-3| lt |x+5| , then x lies in the interval

    Text Solution

    |

  14. The solution of (x+3)/(x-2) le 2 is

    Text Solution

    |

  15. If (2x+3)/(5) lt (4x-1)/(2) , then x lies in the interval

    Text Solution

    |

  16. If 7x-2lt 4 - 3x and 3x-1 lt 2 + 5x , then x lies in the interval

    Text Solution

    |

  17. If x satisfies the inequalities x+7 le 2x + 3 and 2x+4 lt 5x + 3 , th...

    Text Solution

    |

  18. The set of point (x,y) satisfying x+y le 1 , -x-yle 1 lie in the regio...

    Text Solution

    |

  19. The number of solutions of the inequation |x-1| + |x+2| lt 4 is

    Text Solution

    |

  20. The shaded region shown in the figure is given by the inequations

    Text Solution

    |