Home
Class 12
MATHS
Let f(x) be an increasing function defin...

Let `f(x)` be an increasing function defined on `(0,oo)` . If `f(2a^2+a+1)>f(3a^2-4a+1),` then the possible integers in the range of `a` is/are (a)`1` (b) 2 (c) 3 (d) 4

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a non-constant twice differentiable function defined on (oo, oo) such that f(x) = f(1-x) and f"(1/4) = 0 . Then

The domain and range of the real function f defined by f(x)=(1)/(4x^(2)-1) are

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^2-3t+2)dt,x in [1,3] Then the range of f(x), is

Let f(x) be a function defined by f (x)=int_1^x x(x^2-3x+2)dx, 1 leq x leq 4 . Then, the range of f(x) is

Let f (x) be a twice differentiable function defined on (-oo,oo) such that f (x) =f (2-x)and f '((1)/(2 )) =f' ((1)/(4))=0. Then int _(-1) ^(1) f'(1+ x ) x ^(2) e ^(x ^(2))dx is equal to :

If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5 , then the range of f is

Let f : [2, 4) rarr [1, 3) be a function defined by f(x) = x - [(x)/(2)] (where [.] denotes the greatest integer function). Then f^(-1) equals

If f:[3,oo)toR is a function defined by f(x)=x^(2)-2x+6 , then the range of f is

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x(2n), find the value of a0+a6++ ,n ...

    Text Solution

    |

  2. Let there are three points A (0, 4/3), B(–1, 0) and C(1, 0) in x – y p...

    Text Solution

    |

  3. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

    Text Solution

    |

  4. Let f:[-(5pi)/(12),-pi/3]vecR is a function f(x)=tan(x+(2pi)/3)-tan(x+...

    Text Solution

    |

  5. If f (x) be a differentiable function satisfying f (y) f ((x)/(y))=f (...

    Text Solution

    |

  6. Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /CBA (...

    Text Solution

    |

  7. If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 interse...

    Text Solution

    |

  8. General solution of the equation sin5theta+cos4theta=2 is (1) (4n+1)pi...

    Text Solution

    |

  9. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

    Text Solution

    |

  10. Sum of the series : 1^3+2^3+4^3+5^3+7^3+...+59^3

    Text Solution

    |

  11. The focal distance of the point (9,6) on the parabola y^(2)=4x is

    Text Solution

    |

  12. Write the negative of the compound proposition p vv(~pvvq)

    Text Solution

    |

  13. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4...

    Text Solution

    |

  14. The probability that at least one of the events Aa n dB occurs is 0.6....

    Text Solution

    |

  15. If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...

    Text Solution

    |

  16. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |

  17. The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

    Text Solution

    |

  18. If the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 b!=c have a common root ...

    Text Solution

    |

  19. Normal drawn at P(t), having negative ordinate, to parabola y^2=16 x m...

    Text Solution

    |

  20. A chess game between two grandmasters X and Y is won by whoever first ...

    Text Solution

    |