Home
Class 12
MATHS
If (cot^-1 x)^2−7(cot^-1 x)+10 > 0 then...

If `(cot^-1 x)^2−7(cot^-1 x)+10 > 0` then range of x will be (A) `(-oo,cot 2)` (B) `(-oo,cot5)` (C) `(cot2,cot5)` (D) `(cot2,oo)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

Solution set of inequality (cot^-1x)^2-5cot^-1x+6>0 is (A) (cot 3 , cot2) (B) (-oo, cot3) uu (cot2 , oo) (C) (cot2, oo) (D) None of these

Find the range of y = (cot^(-1) x) (cot^(-1) (-x))

If 0ltalphaltpi/4 then the range of cosec 2alpha-cot 2alpha is (A) (0,1) (B) [1,oo) (C) RR (D) [0,oo)

Find the range of cot^(-1)(2x-x^2)

Find the range of cot^(-1)(2x-x^2)

Find the range of cot^(-1)(2x-x^2)

If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2) , then x+y+z=

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2) does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) (b) (-1,\ oo) (c) (-oo,\ oo) (d) (0,\ oo)

Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denotes the greatest integer function, is equal to (a) (0,cot1) (b) (0,tan1) (tan1,oo) (d) (cot1,tan1)

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Let a1, a2, a3, ?a10 are in G.P. if a3/a1 =25 then a9/a5 is equal to ...

    Text Solution

    |

  2. If alpha, beta are roots of x^2 sintheta-(costhetasintheta+1)x+costhet...

    Text Solution

    |

  3. If (cot^-1 x)^2−7(cot^-1 x)+10 > 0 then range of x will be (A) (-oo,c...

    Text Solution

    |

  4. In a hyperbola, length of minor axis is 5 and distance between focii i...

    Text Solution

    |

  5. y^2+4(x−a^2)=0. One of the vertexes of Delta'(Delta) is a vertex of ...

    Text Solution

    |

  6. A circle cuts a chord of length 4a on the x-axis and passes through a ...

    Text Solution

    |

  7. The centre of an ellipse is at origin and its major axis coincides wit...

    Text Solution

    |

  8. Given ABCD is a parallelogram wilth vertices as A(1,2),B(3,4) and C(2,...

    Text Solution

    |

  9. A function f:(0,oo) -> [0,oo] is given by f(x)=|1-1/x| , then f(x) is ...

    Text Solution

    |

  10. Find y(x), if it satisfies the following differential equation (dy)/(d...

    Text Solution

    |

  11. The integral int(pi//6)^(pi//4)dx/(sin2x(tan^5x+cot^5x))equal

    Text Solution

    |

  12. If the curve C is given by the relation y=x^2 +1. Then the area enclos...

    Text Solution

    |

  13. If for a non constant A.P. t19=0. Then the ratio of t49:t29 is ...

    Text Solution

    |

  14. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

    Text Solution

    |

  15. lim(x-gt0) (xcot4x)/((cot^2 2x)(sin^2 x)) is equal to (A) 1 ...

    Text Solution

    |

  16. If int((x+1))/sqrt(2x-1) dx= f(x) sqrt(2x-1)+C. Then f(x) is equal to ...

    Text Solution

    |

  17. Position vector of ponts A, B, C are veca, vecb, vecc respectively whi...

    Text Solution

    |

  18. If x,y is positive real numbers then maximum value of (x^my^m)/((1+x^(...

    Text Solution

    |

  19. Contrapositive of the statement. If the squares of two numbers are equ...

    Text Solution

    |

  20. Set of value of x for which f(x)=sin|x|-|x|+2(x-pi)cos|x| is not diffe...

    Text Solution

    |