Home
Class 12
MATHS
For x in R , 3 cos (4x-5) +4 lies in th...

For ` x in R , 3 cos (4x-5) +4` lies in the interval

A

[1,7]

B

[4,7]

C

[0,7]

D

[2,7]

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -1|15 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -2|15 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sin^(6) x + cos^(6) x for x in R , then f(x) lies in the interval

Number of solution (s) of the equation (sin x)/( cos 3 x) +( sin 3 x )/( co 9 x) + ( sin 9 x )/( cos 27 x) = 0 in the interval (0, (pi)/( 4)) is

IF x is real then the value of ( x ^2 - 3x +4)/( x^2 +3x +4) lies in the interval

IF x^2 - 2x +3 gt 0 , 2x^2 + 4 x + 3 gt 0 then x lies in the interval

If 4x^(2) + kx + 3 ge 0 for all real values of x then k lies in the interval

IF x^2 +6x - 27 gt 0 -x^2 +3x +4>0 then x lies in the interval

If 3x^(2)+4kx+1 gt 1 for all real values of x, then k lies in the interval

If int_0^3 (3x^2-4x+2)dx =k then a root of 3x^2-4x+2 = (3k)/5 that lies in the interval [0,3] is

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 G ( VARIATION IN TRIGONOMETRIC FUNCTIONS )
  1. The minimum value of cos^(3) x+ cos^(3) (120^(@) + x) + cos^(3) (120^...

    Text Solution

    |

  2. ("Minimum of "(sin^(2) x+ cos^(2)x))/("Maximum of " [sin^(2) (3x//2)+c...

    Text Solution

    |

  3. For x in R , 3 cos (4x-5) +4 lies in the interval

    Text Solution

    |

  4. The range of 8 cos theta - 15 sin theta is

    Text Solution

    |

  5. If A= cos theta + 2 sqrt(2) sin theta , then for all real values of t...

    Text Solution

    |

  6. If y=1+4sin^2 x cos^(2) x , then

    Text Solution

    |

  7. The value of cos theta + 3sqrt(2) sin ( theta + pi//4) + 6 lies betw...

    Text Solution

    |

  8. If f(x)=sin^(6) x + cos^(6) x for x in R , then f(x) lies in the int...

    Text Solution

    |

  9. Minimum value of 4 tan x + 9 cot x is

    Text Solution

    |

  10. Minimum value of 5sec x + 4 tan x is

    Text Solution

    |

  11. Minimum value of sin^(2) theta + "cosec"^(2) theta is

    Text Solution

    |

  12. Minimum value of 24 cos^(2) x+ 16 sec^(2) x is

    Text Solution

    |

  13. The least value of 4 sec^(2) theta + 9 " cosec"^(2) theta is

    Text Solution

    |

  14. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

    Text Solution

    |

  15. If 0 le theta le pi//2 then

    Text Solution

    |

  16. Maximum value of sin x cos x is obtained at

    Text Solution

    |

  17. Maximum value of cos x+ sqrt(3) sin x -2 is obtained at

    Text Solution

    |

  18. Minimum value of cos x + sin x is obtained at

    Text Solution

    |

  19. The graph of cot theta , pi//2 lt theta lt 3 pi//2 is discontinuous a...

    Text Solution

    |

  20. The graph of tan theta , 0 lt theta lt pi is discontinuous at theta...

    Text Solution

    |