Home
Class 12
MATHS
Total number of values of ' x ' satisfyi...

Total number of values of `' x '` satisfying the equation, `2^(cos2x)=3. 2^cos^(2x)-4` and the inequality `x^2lt=30` is: 1 (b) 2 (c) 3 (d) 4

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The number of values of satisfying the equation |2x+3|+|2x-3|=4x+6, is

Number of values of 'x'in(-2 pi,2 pi) satisfying the equation 2^(sin^(2))x+4,2^(cos^(@))x=6 is

The number of values of x in [-pi,pi] satisfying the equation 2(cos x+cos2x)+sin2x(1+2cos x)=2sin x is

The total number of integral value of x satisfying the equation x ^(log_(3)x ^(2))-10=1 //x ^(2) is

The number of values of x in the interval [0,3 pi] satisfying the equation cos^(2)x+2cos x-2=0 is

The number of values of x in [0, 4 pi] satisfying the inequation |sqrt(3)"cos" x - "sin"x|ge2 , is

The number of values of y in [-2 pi,2 pi] satisfying the equation |sin2x|+|cos2x|=|sin y| is 3(b)4(c)5(d)

Least integral value of x satisfying the inequation (x^(2)+1)lt(x+2)^(2)lt2xx^(2)+4x-12is

The number of values of x satisfying cos^(2)x-cot^(2)x=1 for x in[-pi,4 pi], is

RESONANCE DPP-JEE MAINS-All Questions
  1. The line 2x+3y=12 meets the x-axis at A and the y-axis at B . The line...

    Text Solution

    |

  2. Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two t...

    Text Solution

    |

  3. Total number of values of ' x ' satisfying the equation, 2^(cos2x)=3. ...

    Text Solution

    |

  4. If a vector vecr of magnitude 3sqrt6 is directed along the bisector of...

    Text Solution

    |

  5. Solve: (tanx-1/(sqrt(3)))(cosx-1/2)geq0

    Text Solution

    |

  6. vec a and vec b are two non-collinear unit vectors vec a,vec b, x vec ...

    Text Solution

    |

  7. Set of all values of x satisfying the inequality |2x^2-4x-7|<[1+1/2((...

    Text Solution

    |

  8. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  9. Let ' n ' is the number of ordered pair (x ,y) satisfying the system o...

    Text Solution

    |

  10. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

    Text Solution

    |

  11. S straight line with slope 2 and y-intercept 5 touches the circle x^2+...

    Text Solution

    |

  12. The function g(x) =[ x+b, x < 0; cos x, x >= 0, can be made differenti...

    Text Solution

    |

  13. The difference between the greatest and least value of function f(x)=c...

    Text Solution

    |

  14. Comprehension (Q. No. 6 to Q. No. 8) Let (x1, y1)&(x2, y2) are the sol...

    Text Solution

    |

  15. The incorrect statement is pvecq is logically equivalent to ~ pvvqdot ...

    Text Solution

    |

  16. The equation 8sinx=(sqrt(3))/(cosx)+1/(sinx), has (a)General solutio...

    Text Solution

    |

  17. If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) ,...

    Text Solution

    |

  18. If f be a function defined on the set of non-negative integers and ta...

    Text Solution

    |

  19. If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x(a , ...

    Text Solution

    |

  20. Which pair(s) of function(s) is/are equal? f(x) = cos(2tan^-1 x) ;g(x)...

    Text Solution

    |