Home
Class 12
MATHS
The equation (cos p-1) x^(2) + cos p*x +...

The equation `(cos p-1) x^(2) + cos p*x + sin p = 0` where x is a variable, has real roots. Then the interval of possible values of p is

A

`(0, 2pi)`

B

`(-pi, 0)`

C

`(-pi/2, pi/2)`

D

`(0, pi)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

The equation (cos p-1)x^(2)+cos px+sin p=0 where x is a variable,has real roots.then the interval of p may be any one of the following:

The equation (cos p-1)x^(2)+(cos p)x+sin p=0 in the variable x has real roots.The p can take any value in the interval (a) ( 0,2 pi)( b) (-pi,0) (c) (-(pi)/(2),(pi)/(2))( d )(0,pi)

The equation (cos p-1)x^(2)+cos p*x+sin p=0 in x has real roots.Then the set of values of p is (a) [0,2pi](b)[-pi,0](c)[-(pi)/(2),(pi)/(2)](d)[0,pi]

If the roots of the given equation (cos p-1)x^(2)+(cos p)x+sin p=0 are real if

The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the minimum value of p.

If the quadratic equation 4 x^ 2 - (p-2)x+ 1 = 0 has equal roots, then the value of 'p' are

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If alpha, beta be the solutions of theta for the equation a tan theta...

    Text Solution

    |

  2. The value of cos^(2)x + cos^(2) (pi/3 + x) - cos x *cos(pi/3+ x) is

    Text Solution

    |

  3. The equation (cos p-1) x^(2) + cos p*x + sin p = 0 where x is a varia...

    Text Solution

    |

  4. If tan theta + tan (pi/3 +theta) + tan (frac{2pi}{3}+ theta) = k tan 3...

    Text Solution

    |

  5. The value of sin sqrt(x^(2) - pi^(2)/36) lies in the interval

    Text Solution

    |

  6. If alpha, beta are two values lying between 0 and 2pi for which tan t...

    Text Solution

    |

  7. (2+sin 2x)/(1+cos 2x) e^(x)

    Text Solution

    |

  8. sin theta = x + 1/x is possible for some real values of x.

    Text Solution

    |

  9. Is (sec x + tan x + 1)(sec x - tan x - 1) - 2tan x = 0 an identity.

    Text Solution

    |

  10. If a1 +a2cos 2x + a3sin^(2)x = 0 be true for all x then a1, a2 and a3...

    Text Solution

    |

  11. The maximum value of 5cos theta + 12 sin theta is 17. Given statement ...

    Text Solution

    |

  12. If cos x + cos y- cos(x +y) = 3/2 then x=y is possible.

    Text Solution

    |

  13. If x = rsin theta*cos phi, y = rsin theta*sin phi and z = rcos theta ...

    Text Solution

    |

  14. The minimum value of 3cos x + 4sin x + 5 is 0. Given statement is true...

    Text Solution

    |

  15. tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...

    Text Solution

    |

  16. If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan...

    Text Solution

    |

  17. Prove that sin 1^circ lt sin 1.

    Text Solution

    |

  18. If sin alpha = -3/5,pi lt alpha lt 3pi/2 then cos alpha/2 = 1/sqrt10

    Text Solution

    |

  19. In the following incomplete sentences fill in the blanks such that the...

    Text Solution

    |

  20. If sin 17^circ *sin 43^circ *sin 77^circ = lambda sin 51^circ then lam...

    Text Solution

    |