Home
Class 12
MATHS
The number of non-negative integral vlau...

The number of non-negative integral vlaues of `n, n le 10` so that a root of the equation `n ^(2) sin ^(2)x -2 sin x - (2n+1)=0` lies in interval `[0, (pi)/(2)]` is:

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|4 Videos

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If a root of the equation n^(2)sin^(2)x-2sinx-(2n+1)=0 lies in [0,pi//2] the minimum positive integer value of n is

The number of solutions of the equation 3"sin"^(2) x - 7"sin" x +2 = 0 in the interval [0, 5 pi] , is

The maximum number of real roots of the equation x^(2n) -1 = 0 , is

Solve the equation for 0 le x le 2pi. 2 sin x-1 =0

The number of non-negative integral solution x_1 + x_2 + x_3 + x_4 <=n (where n is a positive integer) is :

In the interval (0,2 pi) , sum of all the roots of the equation sin(pi log_(3) (1/x)) = 0 is

Find the number of roots of the equation x sin x = 1, x in [-2pi, 0) uu (0, 2pi] .

The number of roots of the equation x^3+x^2+2x+sin x=0 in (-2pi,2pi)

Four times the sum of the roots of the equation sin2x+5sinx+5cosx+1=0 in the interval [0,50pi] is n pi, where n is equal to

The number non-negative integral solutions of x_(1)+x_(2)+x_(3)+x_(4) le n (where n is a positive integer) is:

VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. Let P (x)=x ^(6) -x ^(5) -x ^(3) -x ^(2) -x and alpha, beta, gamma, de...

    Text Solution

    |

  2. The number of integral value of a,a, in [-5, 5] for which the equation...

    Text Solution

    |

  3. The number of non-negative integral vlaues of n, n le 10 so that a roo...

    Text Solution

    |

  4. Let f (x) =ax ^(2) +bx+c, where a,b,c are integers and a gt 1. If f (x...

    Text Solution

    |

  5. If x and y are real numbers connected by the equation 9x ^(2)+2xy+y^(2...

    Text Solution

    |

  6. Consider two numbers a,b, sum of which is 3 and the sum of their cubes...

    Text Solution

    |

  7. If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 and the minimum value of x ^(...

    Text Solution

    |

  8. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  9. Let alpha satisfy the equation x ^(3) +3x ^(2) +4x+5=0 and beta satisf...

    Text Solution

    |

  10. Let x,y and z are positive reals and x ^(2) + xy + y ^(2)=2,y ^(2)+yz+...

    Text Solution

    |

  11. The number of ordered pairs (a,b) where a,b are integers satisfying th...

    Text Solution

    |

  12. The real value of x satisfying ""^(3)sqrt(20x +^(3)sqrt(20x+13))=13 c...

    Text Solution

    |

  13. If the range of the values of a for which the roots of the equation x ...

    Text Solution

    |

  14. Find the number of positive integers satisfying the inequality x^(2) -...

    Text Solution

    |

  15. If sin theta and cos theta are the roots of the quadratic equation ax...

    Text Solution

    |

  16. Let the inequality sin ^(2) x+a cos x +a ^(2) ge1+ cos x is satisfied...

    Text Solution

    |

  17. If alpha,beta are the roots of the equation 2x^2-35+2=0 , the find the...

    Text Solution

    |

  18. The sum of all integral values of 'a' for which the equation 2x ^(2) -...

    Text Solution

    |

  19. Let f (x) be a polynomial of degree 8 such that F(r)=1/r, r=1,2,3,…,8,...

    Text Solution

    |

  20. Let alpha, beta are two real roots of equation x ^(2) + px+ q =0, p ,q...

    Text Solution

    |