Home
Class 12
MATHS
In the interval [-pi/2,pi/2] the equatio...

In the interval `[-pi/2,pi/2] `the equation `log_(sin theta)(cos 2 theta)=2` has

A

no solution

B

a unique solution

C

two solutions

D

infinite many solutions

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 85

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 87

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

In the interval [-(pi)/(2),(pi)/(2)] the equation log_( sinf )(cos2 theta)=2 has

The number of values of theta in the interval [-pi,pi] satisfying the equation costheta+sin2theta=0 is

The possible value of theta in [-pi, pi] satisfying the equation 2(costheta + cos 2theta)+ (1+2costheta)sin 2theta = 2sintheta are

The number of values of theta in [0,2 pi] satisfying the equation 2sin^(2)theta=4+3cos theta are

Find the number of solution of the equation 2(cos theta+cos2 theta)+sin2 theta(1+2cos theta)=2sin thetain theta in[0,3 pi]

The number of values of theta in the interval [-(pi)/(2),(pi)/(2)] and theta!=(n pi)/(5) is where n=0,+-1,+-2 and tan theta=cot(5 theta) and sin(2 theta)=cos(4 theta) is

Find theta in [pi/2, 3pi/2] satisfying 2cos^(2)theta +sin theta le 2 .

The number of solutions of the equation (log_(2)cos theta)^(2)+log.(4)/(cos theta) (16 cos theta)=2 in the interval [0, 2pi) is

NTA MOCK TESTS-NTA JEE MOCK TEST 86-MATHEMATICS
  1. If a gt 2, then the roots of the equation (2-a)x^(2)+3ax-1=0 are

    Text Solution

    |

  2. If sin 2 beta is the geometric mean between sin alpha and cos alpha, t...

    Text Solution

    |

  3. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

    Text Solution

    |

  4. A line passing through the point (2, 2) encloses an area of 4 sq. unit...

    Text Solution

    |

  5. The angle between the chords of the circle x^2 + y^2 = 100, which pass...

    Text Solution

    |

  6. Let the focus S of the parabola y^(2)=8x lie on the focal chord PQ of ...

    Text Solution

    |

  7. If the tangents PQ and PR are drawn from a variable point P to the ell...

    Text Solution

    |

  8. Let f(x)={{:("max"{|x|","x^(2)},|x|le3),(12-|x|,3lt|x|le12):}. If S is...

    Text Solution

    |

  9. Let a function f:(0,infty)to[0,infty) be defined by f(x)=abs(1-1/x). T...

    Text Solution

    |

  10. The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to (a)...

    Text Solution

    |

  11. A flagstaff stands vertically on a pillar, the height of the flagstaff...

    Text Solution

    |

  12. The function f(x)=e^(sinx+cosx)AA x in [0, 2pi] attains local extrema ...

    Text Solution

    |

  13. If I=int(dx)/(x^(2)-2x+5)=(1)/(2)tan^(-1)(f(x))+C (where, C is the con...

    Text Solution

    |

  14. If the curve satisfying differential equation xdy=(y+x^(3))dx passes ...

    Text Solution

    |

  15. If the system of equations (.^(n)C(3))x+(.^(n)C(4))y+35z=0, (.^(n)C(4)...

    Text Solution

    |

  16. A box contains 3 coins B(1), B(2),B(3) and the probability of getting ...

    Text Solution

    |

  17. Let A=[(1, 2),(3, 4)] and B=[(p,q),(r,s)] are two matrices such that A...

    Text Solution

    |

  18. If a line passing through (-2, 1, alpha) and (4, 1, 2) is perpendicula...

    Text Solution

    |

  19. If (1^(2)-a(1))+(2^(2)-a(2))+(3^(2)-a(3))+…..+(n^(2)-a(n))=(1)/(3)n(n^...

    Text Solution

    |

  20. If Im((iz+2)/(z+i))=-1 represents part of a circle with radius r units...

    Text Solution

    |