Home
Class 12
MATHS
Let f(x)=3x^2-7x+c , where c is a variab...

Let `f(x)=3x^2-7x+c ,` where `c` is a variable coefficient and `x >7/6` . Then the value of `[c]` such that `f(x)` touches `f^(-1)(x)` is (where [.] represents greatest integer function)_________

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

Let f(x)=3x^(2)-7x+c, where c is a variable coefficient and x>(7)/(6). Then the value of [c] such that f(x) touches f^(-1)(x) is (where I.] represents greatest integer function)

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

The range of the function f(x)=sin(sin^(-1)[x^(2)-1]) is (where[*] represents greatest integer function)

" The range of the function "f(x)=sin(sin^(-1)[x^(2)-1])" is (where "[" .] represents greatest integer function) "

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

Find the range of f(x)=(x-[x])/(1-[x]+x'), where [] represents the greatest integer function.

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

The domain of the function f(x)=(1)/(sqrt([x]^(2)-[x]-20)) is (where, [.] represents the greatest integer function)

RESONANCE DPP-JEE MAINS-All Questions
  1. If cos e c^(-1)(cos e cx)a n dcos e c(cos e c^(-1)x) are equal functio...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Three straight lines 2x+11y-5=0, 4x-3y-2=0 and 24x+7y-20=0:

    Text Solution

    |

  20. Number of integral points (integral points means both the co-ordinates...

    Text Solution

    |