Home
Class 11
MATHS
The values of k for which the equation s...

The values of k for which the equation `sin^4 x+cos^4 x+sin2x+k=0` possess solution (A) `k in [-3/2,1]` (B) ` k in [0,1/2]` (C) `k in [-3/2,1/2]` (D) `k in [1/2,1]`

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|136 Videos

Similar Questions

Explore conceptually related problems

The value of K so that the equation (K+1)sin x+2cos x=2+K has at least one solution.

The number of integer values of k, for which the equation 2 sin x =2k+1 has a solution, is

The value of K so that the equation (K+1)sin x+2cos x=2+K has at least one solution is

Prot that the equation k cos x-3s in x=k+1 possess a solution if k in(-oo,4]

The values of k ,for which the equation x^(2)+2(k-1)x+k+5=0 possess atleast one positive root,are:

The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a solution, if

The set of values of k for which the equation sin^(-1)x+cos^(-1)x +pi(|x|-2)=k pi possesses real solution is [a,b] then the value of a + b is

The number of integral values of k for which the equation 7cos x+5sin x=2k+1 has a solution is (1)4(2)8(3)10(4)12

The value of k, for which (cos x+ sin x)^(2) +k sin x cos x-1 =0 is an identity, is

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is 1(b)2(c)3(d)4

ALLEN-TRIGONOMETRIC EQUATION-All Questions
  1. If A=[1ta n x-t a n x1],t h e nA^T A^(-1) is [ cos2x s in2x-s in2x cos...

    Text Solution

    |

  2. Solve : (log)((-x^2-6x)//10)(sin3x+sinx)=(log)(-x^2-6x)//10)(sin2x)

    Text Solution

    |

  3. The values of k for which the equation sin^4 x+cos^4 x+sin2x+k=0 posse...

    Text Solution

    |

  4. Find the least positive angle measured in degrees satisfy sin^3x +sin^...

    Text Solution

    |

  5. Solve for x,y:{sinxcosy=1/4 , 3tanx=tany

    Text Solution

    |

  6. The number of solutions of equation tanx+secx=2cosx lying in the inter...

    Text Solution

    |

  7. General solution of tan5theta=cot2theta is (npi)/7+pi/2^(\ ),\ n Z b....

    Text Solution

    |

  8. The number of values of x in the interval [0, 3pi] satisfying the equa...

    Text Solution

    |

  9. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

    Text Solution

    |

  10. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  11. The possible values of theta in (0,pi) such that sin (theta) + sin (4t...

    Text Solution

    |

  12. If 0 <= x < 2pi, then the number of real values of x, which satisfy th...

    Text Solution

    |

  13. The number of x in [0,2pi] for which sqrt(2sin^4 x+18cos^2 x)-sqrt(2...

    Text Solution

    |

  14. The number of integral values of k for which the equation 7cos x +5 s...

    Text Solution

    |

  15. cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [-pi...

    Text Solution

    |

  16. The value of theta in (0,2pi) for which 2sin^2theta-5sintheta+2>0 is (...

    Text Solution

    |

  17. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

    Text Solution

    |

  18. The number of values of theta in the interval (-pi/2,pi/2) such that t...

    Text Solution

    |

  19. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

    Text Solution

    |

  20. Let theta ,phi in [0,2pi] be such that 2 cos theta (1-sin phi)=sin^2 t...

    Text Solution

    |