Home
Class 12
MATHS
If cos e c^(-1)(cos e cx)a n dcos e c(co...

If `cos e c^(-1)(cos e cx)a n dcos e c(cos e c^(-1)x)` are equal functions, then the maximum range of value of `x` is `[-pi/2,-1]uu[1,pi/2]` (b) `[-pi/2,0]uu[0,pi/2]` `(-oo,-1)uu[1,oo]` (d) `[-1,0]uu[0,1]`

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

If cos ec^(-1)(cos ecx) and cos ec(cos ec^(-1)x) are equal functions,then the maximum range of value of x is (a) [-(pi)/(2),-1]uu[1,(pi)/(2)] (b) [-(pi)/(2),0]uu[0,(pi)/(2)](c)(-oo,-1)uu[1,oo] (d) [-1,0]uu[0,1]

If log_(3)(x^(2)-6x+11)<=1, then the exhaustive range of values of x is: (-oo,2)uu(4,oo)(b)(2,4)(-oo,1)uu(1,3)uu(4,oo)(d) none of these

If y=tan^(-1)x+tan^(-1)(1/x)+sec^(-1)x , then y lies in the interval (a) [pi/2,pi)uu[pi,(3pi)/2) (b) [pi/2,(3pi)/2] (c)(0,pi) (d) [0,pi/2)uu[pi/2,pi)

For x^(2)-(a+3)|x|+4=0 to have real solution,the range of a is (-oo,-7]uu[1,oo) b.(-3,oo) c.(-oo,-7)d*[1,oo)

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)be pi If x satisfies the equation ax^(3)+bx^(2)+cx-c_(1)=0, then the value of (b-a-c) is

Range of f(x)=(1)/(1-2cos x) is (1)[(1)/(3),1] (2) [-1,(1)/(3)](3)(-oo,-1]uu[(1)/(3),oo)(4)[-(1)/(3),1]

Complete solution set of the inequation (x^(2)-1)(x^(2)-6x+8)>=0 is x in[-1,1]uu[2,4]x in(-oo,-1)uu[1,2]uu[4,oo]x in[-1,2]uu[4,oo](d) none of these

If cos(sinx)=0, then x lies in (a) (pi/4,pi/2)uu(pi/2,\ pi) (b) (-pi/4,\ 0) (c) (pi,(3pi)/2) (d) null set

The solution set of the equation [x]^(2) +[x+1]-3=0 , where [*] represents greatest integer function is (A) [-1,0)uu[1,2) (B) [-2,-1) uu[1,2) (C) [1,2) (D) [-3,-2)uu[2,3)

If x cos y+y cos x=pi then the value of y'(0) is equal to pi(b)-pi(c)1(d)0

RESONANCE DPP-JEE MAINS-All Questions
  1. If x^2-(a-3)x+a=0 has atleast one positive root then 'a' belong to

    Text Solution

    |

  2. If b^(2)gt4ac then roots of equation ax^(4)+bx^(2)+x=0 are all real & ...

    Text Solution

    |

  3. If cos e c^(-1)(cos e cx)a n dcos e c(cos e c^(-1)x) are equal functio...

    Text Solution

    |

  4. If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the eq...

    Text Solution

    |

  5. Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Th...

    Text Solution

    |

  6. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is (a)decr...

    Text Solution

    |

  7. If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' ...

    Text Solution

    |

  8. If f(x)+f(1-x)=2 and g(x)=f(x)-1AAx in R , then g(x) is symmetric abo...

    Text Solution

    |

  9. The statement which is not a tautology is (pharrq)[(pvecq)^^(qvecq)] b...

    Text Solution

    |

  10. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  11. Which one of the following is not a contradiction? [~ p^^(pvv~ q)]^^q ...

    Text Solution

    |

  12. Two concentric circles are such that the smaller divides the larger in...

    Text Solution

    |

  13. Consider the statement p; New Delhi is a city. Which of the following ...

    Text Solution

    |

  14. Find the image of interval [-1,3] under the mapping specified by...

    Text Solution

    |

  15. If p: Ashok works hard: q: Ashok gets good grade The verbal form for (...

    Text Solution

    |

  16. Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f...

    Text Solution

    |

  17. The logically equivalent proposition of phArrq is (p^^q)vv(p^^q) b. (p...

    Text Solution

    |

  18. The equation of circle with origin as centre and passing through the ...

    Text Solution

    |

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

    Text Solution

    |

  20. Centre of a circle of radius 4sqrt(5) lies on the line y=x and satisfi...

    Text Solution

    |