Home
Class 12
MATHS
The number of solutions of the equation ...

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

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 59

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 61

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the pair of equations 2sin^(2)theta-cos(2 theta)=0,2cos^(2)theta-3sin theta=0 in the interval [0,2 pi] is

The number of solution of the equation sin theta cos theta cos 2 theta .cos 4theta =1/2 in the interval [0,pi]

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 solution of the pair of equations 2sin^(2)theta-cos2 theta=0and2cos^(2)theta-3sin theta=0 in the interval [0,2 pi] is 0 (b) 1 (c) 2 (d) 4

The solution set of (5+4cos theta)(2cos theta+1)=0 in the interval [0,2 pi] is

Number of solutions of the equation "sin" 2 theta + 2 = 4"sin" theta + "cos" theta lying in the interval [pi, 5pi] is

The most general solution of the equation log_(cos theta)tan theta+log_(sin theta)cot theta=0 , is

The solution set of (5+4 "cos" theta) (2 "cos" theta +1) =0 in the interval [0, 2pi]

NTA MOCK TESTS-NTA JEE MOCK TEST 60-MATHEMATICS
  1. A man wants to distribute 101 coins a rupee each, among his 3 sons wit...

    Text Solution

    |

  2. If the sum of the first 100 terms of an arithmetic progression is -1 a...

    Text Solution

    |

  3. The number of solutions of the equation (log(2)cos theta)^(2)+log.(4)/...

    Text Solution

    |

  4. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |

  5. The value of the integral int(-4)^(4)e^(|x|){x}dx is equal to (where {...

    Text Solution

    |

  6. If f:NrarrZ defined as f(n)={{:((n-1)/(2),":"," if n is odd"),((-n)/(2...

    Text Solution

    |

  7. Which of the following is not a tautology?

    Text Solution

    |

  8. If y=tan^(-1).(1)/(1+x+x^(2))+tan^(-1).(1)/(x^(2)+3x+3) upto +tan^(-1)...

    Text Solution

    |

  9. If the mean of a set of observations x(1), x(2),……,x(10) is 40, then t...

    Text Solution

    |

  10. The differential equation of the curve for which the point of tangency...

    Text Solution

    |

  11. The locus of the centre of the circle described on any focal chord of ...

    Text Solution

    |

  12. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=

    Text Solution

    |

  13. Let f(x)=|(4x+1,-cosx,-sinx),(6,8sinalpha,0),(12sinalpha, 16sin^(2)alp...

    Text Solution

    |

  14. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  15. 2 dice are thrown. Suppose a random variable X is assigned a value 2k,...

    Text Solution

    |

  16. The length of the perpendicular from P(1,0,2) on the line (x+1)/(3)=(y...

    Text Solution

    |

  17. Let there are exactly two points on the ellipse (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |

  18. The area (in sq. units) bounded by the curve |y|=|ln|x|| and the coord...

    Text Solution

    |

  19. The volume of a cube is increasing at the rate of 9cm^(3)//sec. The ra...

    Text Solution

    |

  20. Let M and N are two non singular matrices of order 3 with real entries...

    Text Solution

    |