Home
Class 12
MATHS
The number of the solutions of the equat...

The number of the solutions of the equation `3sinx + 4cosx-x^2-16 = 0` is

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

The number of the solutions of the equation 3sin x+4cos x-x^(2)-16=0 is

The number of real solutions of the equation x-sinx=0, is

The number of solutions of the equation 4sinx – 3cosx = 7 are

In the interval [-pi/4,pi/4] the number of real solutions of the equations |[sinx , cosx ,cosx],[cosx, sinx, cosx],[cosx , cosx , sinx]| =0

The number of solutions of the equation |cosx-sinx|=2cosx in [0,2pi] is (A) 1 (B) 2 (C) 3 (D) 4

The total number of solutions of the equation sinx tan4x=cosx for all x in (0, pi) are

Statement:1 The number of real solution of the equation sinx = 4^(x) + 4^(-x) is zero. And Statement-2: |sinx| lt 1 AA x in R .

The number of solutions of the equation sin2x-2cosx+4sinx=4 in the interval [0,5pi] is

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. The number of solutions of equations 3cos2theta+5costheta =1 in [0,2pi...

    Text Solution

    |

  2. The general solution of the equations tantheta=-1 and costheta=1/sqrt(...

    Text Solution

    |

  3. The number of the solutions of the equation 3sinx + 4cosx-x^2-16 = 0 i...

    Text Solution

    |

  4. solve sin^4x=1+tan^8x

    Text Solution

    |

  5. If theta in (0, 2pi) and 2sin^2theta - 5sintheta + 2 > 0, then the ran...

    Text Solution

    |

  6. If theta in (0, 2pi) and 2sin^2theta - 5sintheta + 2 > 0, then the ran...

    Text Solution

    |

  7. The general solution of the equation tan2theta tan3theta=1 is

    Text Solution

    |

  8. If m, n in N( n> m), then number of solutions of the equation n|sin...

    Text Solution

    |

  9. If sinA = sinBandcosA=cosA=cosB, then which one of the following is c...

    Text Solution

    |

  10. The number of values of x int [-2pi, 2pi] satisfying tanx + cotx 2" c...

    Text Solution

    |

  11. The solution set of the equation tanax = tanbx

    Text Solution

    |

  12. The general solution of the equation tanx/ (tan2x) + (tan2x)/tanx +2 =...

    Text Solution

    |

  13. The solution of the equation cos^2theta-2costheta=4sintheta-sin2theta ...

    Text Solution

    |

  14. The general solution of sin^2 theta sec theta +sqrt3 tan theta=0 is (n...

    Text Solution

    |

  15. If sinx+cosx=sqrt(y+1/y), y gt 0, x in[0,pi], then find the least valu...

    Text Solution

    |

  16. The -number of solutions of the equation cos(pisqrt(x-4)cos(pi sqrtx)=...

    Text Solution

    |

  17. The number of solutions of sum(r=1)^6 cos(rx)=6 in

    Text Solution

    |

  18. The number of values of x for which sin2x + cos4x = 2 is

    Text Solution

    |

  19. If the equation cosx + 3cos(2Kx) = 4 has exactly one solution, then (1...

    Text Solution

    |

  20. The solution of the inequality log(1//2) sinx gt log(1//2) cosx is

    Text Solution

    |