Home
Class 11
MATHS
If the inequality sin^(2) x + a cos x + ...

If the inequality `sin^(2) x + a cos x + a^(2) gt 1 + cos x` holds for any `x in R`, then the largest negative integral value of `a` is

A

-4

B

-3

C

-2

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|8 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|9 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible value of sin x is

int (1)/(2 sin^(2) x + 3 sin x cos x - 2 cos^(2) x ) dx =

The minimum value of 1-8sin^(2) x cos^(2) x is

If a =sin^(2) x + cos^(4) x then AA X E R

If sin x + sin^(2) x =1 " then " cos^(8) x + 2 cos^(6) x + cos^(4) x =

Solve sin x + sin 2x + sin 3 x = cos x + cos 2x + cos 3x

In which of the following sets the inequality sin^(6) x + cos^(6) x gt 5//8 holds good?

If Cos^(-1)x gt Sin^(-1)x , then x belongs to the interval

AAKASH SERIES-TRIGONOMETRIC RATIOS-ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)
  1. If the inequality sin^(2) x + a cos x + a^(2) gt 1 + cos x holds for a...

    Text Solution

    |

  2. If ABCD is a cydic quadrilateral such that 12 tan A - 5 = 0 and 5 co...

    Text Solution

    |

  3. tanA = a tanB, sinA = bsinB rArr (b^(2) - 1)/(a^(2) - 1) =

    Text Solution

    |

  4. If sec theta + cos theta = 2 then sin^(2) theta + tan^(2) theta=

    Text Solution

    |

  5. If theta = (11pi)/(6). Then cos theta + sin theta =

    Text Solution

    |

  6. a = sec theta - tan theta and b=cosectheta+cottheta rArr a =

    Text Solution

    |

  7. If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+...

    Text Solution

    |

  8. If m cos^(2) A + n sin^(2) A = p, then cot^(2) A=

    Text Solution

    |

  9. x = tan theta + cot theta, y = cos theta - sin theta rArr

    Text Solution

    |

  10. If (sintheta-costheta+1)/(sintheta+costheta-1)=(x)/(tantheta-sectheta+...

    Text Solution

    |

  11. sin x + sin^(2) x + sin^(3) x = 1 rArr cos^(6) x - 4cos^(4) x + cos^(2...

    Text Solution

    |

  12. cos theta + cos^(2) theta = 1, cos theta + cos^(2) theta = 1 + d sin^(...

    Text Solution

    |

  13. cosA, sinA, cotA are in GP then tan^(6) A - tan^(2) A =

    Text Solution

    |

  14. If e^((1+sin^(2)x+sin^(4)x+...oo)log2)=16, then tan^(2)x =

    Text Solution

    |

  15. If 0 le x le pi, 4^(sin^(2)) + 4 ^(cos^(2)x) = 5, then x =

    Text Solution

    |

  16. If sin beta is the G.M between sin alpha and cos alpha then (cos alpha...

    Text Solution

    |

  17. If x = a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) thea ...

    Text Solution

    |

  18. If sin theta and theta are the roots of px^(2) + qx + r = 0 then q^(2)...

    Text Solution

    |

  19. If cos x = tan y, cot y = tan z and cot z = tan x, then sin x =

    Text Solution

    |

  20. If sin theta + cos thea = m and sec theta+ cosec theta = n, then n (m...

    Text Solution

    |

  21. If m= a Cos^(3) theta + 3a Cos theta Sin^(2) theta and n=a Sin^(3) the...

    Text Solution

    |