Home
Class 12
MATHS
Let [x] denote the greatest integer less...

Let [x] denote the greatest integer less than or equal to x. Then, the values of `x in R` satisfying the equation `[e^(x)]^(2) + [e^(x) + 1] - 3 = 0`

A

`[0, (1)/(e))`

B

`[log_(e)2, log_(e)3)`

C

`[1, e)`

D

`[0, log_(e)2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-B)|40 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|30 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

Let [x] denote the greatest integer less than or equal to x . Then, int_(1)^(-1)[x]dx=?

Let [x] denote the greatest integer less than or equal to x . Then, int_(0)^(1.5)[x]dx=?

Let [x] denote the greatest integer less than or equal to x. Then the value of int_(1)^(2)|2x-[3x]|dx is ______

Let [x] denotes the greatest integer less than or equal to x and f(x)= [tan^(2)x] .Then

If [x] dentoes the greatest integer less than or equal to x, then the value of int _(0)^(5)[|x-3|] dx is

If [x] denotes the greatest integer less than or equal to x, then the solutions of the equation 2x-2[x]=1 are

If [x] denotes the greatest integer less than or equal to x then the value of int_(0)^(2)(|x-2|+[x])dx is equal to

Let [x] denotes the greatest integer less than or equal to x. If f(x) =[x sin pi x] , then f(x) is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-A)
  1. Which of the following Boolean expressions is not a tautology ?

    Text Solution

    |

  2. Let A = [a(ij)] be a real matrix of order 3 xx 3, such that a(i1) + a...

    Text Solution

    |

  3. Let [x] denote the greatest integer less than or equal to x. Then, the...

    Text Solution

    |

  4. Let the circle S : 36x^(2) + 36y^(2) - 108 x + 120 y + C = 0 be such t...

    Text Solution

    |

  5. If 'n' is the number of solution of z^2+3barz=0 where zinC then find s...

    Text Solution

    |

  6. The number of solutions of sin^(7)x + cos^(7)x = 1, x in [0, 4pi] is e...

    Text Solution

    |

  7. If the domain of the function f(x) = (cos^(-1)sqrt(x^(2) - x + 1))/(sq...

    Text Solution

    |

  8. Let f : R rarr R be defined as f(x) = {{:((x^(3))/((1-cos 2x)^(2)) log...

    Text Solution

    |

  9. Let a line L : 2x + y = k, k gt 0 be a tangent to the hyperbola x^(2) ...

    Text Solution

    |

  10. If E1:x^2/a^2+y^2/b^2=1 , agtb . E2 is an ellipse which touches E1 at ...

    Text Solution

    |

  11. The sum of all those terms which are rational numbers in the expansion...

    Text Solution

    |

  12. The first of the two samples have 100 items with mean 15 and S.D.3. If...

    Text Solution

    |

  13. Let f(x)={{:(int(0)^(x)(5+|1-t|)dt","," if "xgt 2),(5x+1","," if "x le...

    Text Solution

    |

  14. Find the greatest value of the term independent of x in the expansion ...

    Text Solution

    |

  15. Consider the statement "The match will be played only if the weather i...

    Text Solution

    |

  16. Find the Value of cot pi/24

    Text Solution

    |

  17. Which of the following value is just greater than [1+1/(10^100)]^(10^1...

    Text Solution

    |

  18. The value of the integral overset(1)underset(-1)intlog(x+sqrt(x^(2)+...

    Text Solution

    |

  19. Let a, b and c be distinct non-negative numbers. If vectos a hati +a h...

    Text Solution

    |

  20. If [x] be the greatest integer less than or equal to x then sum(n=8...

    Text Solution

    |