Home
Class 12
MATHS
The number of elements in the set {x in ...

The number of elements in the set `{x in R :(|x| -3) |x+4|=6}` is equal to : then 'a' must be greater then :

A

`-1/2`

B

`1/2`

C

`1`

D

`-1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|30 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION A|40 Videos
  • JEE MAIN 2021

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

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

The number of elements in the set x in R :(absx-3)(abs(x+4))=6 is equal to

Number of solutions of the set {x in R:[x-|x|]=5} is

The set A = {x:|2x +3 | lt 7} is equal to the set

The number of elements of the set {x: X in N,x^(2) = 1} where N is the set of all natural numbers is :

int(6x+4)/((x-2)(x-3))dx is equal to

The number of real root of the equal x^(3) -6x +9 = 0 is :

The number of solution of the equation (x+2)^(log_(x+2)(6+x-x^(2)))=(x-3)|x| is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
  1. The number of elements in the set {x in R :(|x| -3) |x+4|=6} is equal ...

    Text Solution

    |

  2. A card from a pack 52 cards is lost. From the remaining cards , two ca...

    Text Solution

    |

  3. The locus of the midpoints of the chord of the circle, x ^(2) + y ^(2)...

    Text Solution

    |

  4. The number of elements in the set {x in R :(|x| -3) |x+4|=6} is equal ...

    Text Solution

    |

  5. Consider three observations a, b and c such that b=a+c. If the standar...

    Text Solution

    |

  6. Let a vector a hati + beta hatj be obtained by rotating the vector s...

    Text Solution

    |

  7. Let A = [{:(i, -i), (-i , i):}], i sqrt (-i) Then, the system of line...

    Text Solution

    |

  8. The number of roots of the equation, (81) ^( sin ^(2)x) + (81) ^( co...

    Text Solution

    |

  9. Let the functions f: R toR and g: R to R be defined as : f (x) = {{:...

    Text Solution

    |

  10. If y=yır) is the solution of the differential equation, (dy)/(dx) + 2 ...

    Text Solution

    |

  11. Let a complex number z|z| =1,. satisfy log ((1)/(sqrt2)) ((|z| +11)/(...

    Text Solution

    |

  12. Let S (K) = sum (r=1) ^(k) tan ^(-1) (( 6 ^r)/( 2 ^( 2 r + 1) + 3 ^( 2...

    Text Solution

    |

  13. The range of a R for which the function f (x) = (4a -3) (x + log (e)...

    Text Solution

    |

  14. If "log"(10) sin x+"log"(10)cos x=-1 and "log"(10)(sin x+cosx)=(("log"...

    Text Solution

    |

  15. If for x in (0, (pi)/(2) ) , log (10) sin x + log (10) cos x =-1 and ...

    Text Solution

    |

  16. Let the position vectors of two points P and Q be 3 hati - hatj + 2 ha...

    Text Solution

    |

  17. If for a gt 0, the feet of perpendiculars from the points A(a, - 2a, ...

    Text Solution

    |

  18. Let P be a plane Ix+my+nz=0 containing the line, (1-x)/(1) = (y+4)/(2)...

    Text Solution

    |

  19. If n is the number of irrational terms in the expansion of (3 ^(1//4) ...

    Text Solution

    |

  20. Which of the following Boolean expression is a tautology ?

    Text Solution

    |