Home
Class 12
MATHS
The range of a R for which the function ...

The range of a R for which the function
`f (x) = (4a -3) (x + log _(e) 5) + 2 (a -7) cot ((x)/(2)) sin ^(2) ((x)/(2)), x ne 2 npi, n in N` has critical points, is :

A

`[1, oo)`

B

`[- (4)/(3), 2]`

C

`(-3, 1)`

D

`(-oo, -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 value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)(cot x)/(2)(sin^(2)x)/(2) does not possess critical points is (-oo,-(4)/(3)) (b) (-oo,-1)(c[1,oo)(d)(2,oo)

The range of the function f(x) = log_(3) (5+4x - x^(2)) , is

Range of the function f(x)=log_(e)sqrt(4-x^(2)) is

The range of the function f(x) = log_(cosec^2 (7pi)/3) (4^x – 2^x +1) is equal to

The range of the function f(x)=sin^(-1)(log_(2)(-x^(2)+2x+3)) is

The range of the function f(x)=log_((1)/(2))log_(5)(sqrt(2x^(2)+4x+7)) is

The range of the function f(x)=sin cos(ln((x^(2)+1)/(x^(2)+e))) is

The range of values of k for which the function f(x)=(2k-3)(x+tan2)+(k-1)(sin^(4)x+cos^(4)x) does not possess critical points is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
  1. Let a complex number z|z| =1,. satisfy log ((1)/(sqrt2)) ((|z| +11)/(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The system of equations kx + y + z =1, x + ky + z = k and x + y + zk ...

    Text Solution

    |

  12. If the fourth term in the expansion of ( x + x^(log(2) x ))^(7) is 44...

    Text Solution

    |

  13. If the Boolean expression ( p rArr q ) hArr ( ~q ** p ) is a tautology...

    Text Solution

    |

  14. Which of the following is true for y(x) that satisfies the differentia...

    Text Solution

    |

  15. Choose the incorrect statement about the two circles whose equations a...

    Text Solution

    |

  16. If A = ({:(0, sin alpha),(sinalpha,0):}) and det ( A^(2) - ( 1)/( 2) ...

    Text Solution

    |

  17. If cot^(-1) ( alpha) = cot^(-1)(2) + cot^(-1)(8) + cot^(-1)(18) + cot ...

    Text Solution

    |

  18. Two dices are rolled. If both dices have six faces numbered 1,2,3,5,7 ...

    Text Solution

    |

  19. In a triangle PQR , the co-ordinates of the points P and Q are ( -2,4)...

    Text Solution

    |

  20. Which of the following statements is incorrect for the function g ( al...

    Text Solution

    |