Home
Class 11
MATHS
If sin^2x-2sinx-1=0 has exactly four dif...

If `sin^2x-2sinx-1=0` has exactly four different solutions in `x in [0,npi]` , then value/values of `n` is/are `(n in N)` 5 (b) 3 (c) 4 (d) 6

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If f(x) = sgn(sin^2x-sinx-1) has exactly four points of discontinuity for x in (0, npi), n in N , then

If the equation x^(2)+12+3sin(a+bx)+6x=0 has atleast one real solution, where a, b in [0,2pi] , then the value of a - 3b is (n in Z)

e^(|sinx|)+e^(-|sinx|)+4a=0 will have exactly four different solutions in [0,2pi] if. a in R (b) a in [-3/4,-1/4] a in [(-1-e^2)/(4e),oo] (d) none of these

If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2],n in N then find the greatest value of ndot

If a_n=sin((npi)/6) then the value of sum a_n^2

The equation x^(3)+3x^(2)+6x+3-2cosx=0 has n solution(s) in (0, 1), then the value of (n+2) is equal to

If n gt 0 and exactly 15 integers satisfying (x+6)(x-4 ) (x-5) (2x-n) le 0 then least possible value of n is

If x=1\ a n d\ y=6 is a solution of the equation 8x-a y+a^2=0 , find the value of a

If "sin"^(2) theta -2"sin" theta-1 = 0 is to be satisfied for exactly 4 distinct values of theta in [0, n pi], n in Z , then the least values of n, is

If 2tan^2x-5secx=1 is satisfied by exactly seven distinct values of x in [0,((2n+1)pi)/2],n in N , then the greatest value of n is________.

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If in a triangle P Q R ,sinP ,sinQ ,sinR a r e i n AdotPdot , then ...

    Text Solution

    |

  2. Find the angle theta whose cosine is equal to its tangent.

    Text Solution

    |

  3. If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,np...

    Text Solution

    |

  4. If in a triangle the angles are in the ratio as 1:2:3 , prove that the...

    Text Solution

    |

  5. A balloon is observed simultaneously from three points A, B and C on a...

    Text Solution

    |

  6. A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (...

    Text Solution

    |

  7. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  8. Prove that tan(pi/10) is a root of polynomial equation 5x^4-10 x^2+1=0...

    Text Solution

    |

  9. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then (a) x=pi/4 (b) y=0 (...

    Text Solution

    |

  10. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  11. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |

  12. sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold...

    Text Solution

    |

  13. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  14. Find all the solution of 4cos^2xsinx-2sin^2x=3sinx

    Text Solution

    |

  15. If f(theta)=(1-sin2theta+cos2theta)/(2cos2theta) , then value of 8f(1...

    Text Solution

    |

  16. In triangle A B C ,2a csin(1/2(A-B+C)) is equal to (a) a^2+b^2-c^2 (b...

    Text Solution

    |

  17. tan100^0+tan125^0+tan100^0tan125^0 is equal to 0 (b) 1/2 (c) -1 (d) ...

    Text Solution

    |

  18. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

    Text Solution

    |

  19. Let A1,A2,....An be the vertices of an n-sided regular polygon such t...

    Text Solution

    |

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

    Text Solution

    |