Home
Class 12
MATHS
Let A=Minimum(x^2-2x+7),x in R and B= ...

Let `A=`Minimum`(x^2-2x+7),x in R ` and `B=` Minimum`(x^2-2x+7),x in [2,oo),` then: (a)`(log)_((B-A))(A+B)` is not defined (b) `A+B=13` (c)`(log)_((2B-A))A<1` (d) `(log)_((2A-B))A >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

Let X minimum (x^(2)-2x+7),c inRand B="Minimum"(x^(2)-2x+7),x in[2,oo), then:

log_(x)((a+b)/(2))=(1)/(2)(log a+log_(8)b)

If x^(y)=e^(x-y), then (dy)/(dx) is (1+x)/(1+log x)(b)(1-log x)/(1+log x)(c) not defined (d) (log x)/((1+log x)^(2))

lim_(x rarr oo)(cot^(-1)(x^(-a)log_(a)x))/(sec^(-1)(a^(x)log_(x)a)),(a>1) is equal to (a)2(b)1(c)(log)_(a)2(d)0

If intxlog(1+x^(2))dx=A(x).log(1+x^(2))+B(x)+c , then

If b >1,sint >0,cost >0a n d(log)_b(sint)=x ,t h e n(log)_b(cost) is equal to 1/2(log)_b(a-b^(2x)) (b) 2log(1-b^(x/2)) (log)_bsqrt(1-b^(2x)) (d) sqrt(1-x^2)

Solve for x:(a) log_(0.3)(x^(2)+8) gt log_(0.3)(9x) , b) log_(7)( (2x-6)/(2x-1)) gt 0

Find that : (d)/(dx)(2^(log_2(x))) = a) 1 b) 0 c) 1/x d) 2^(x)log^(2)

int(ln x)/(x^(3))dx=A(ln x)/(x^(2))+(B)/(x^(2))+c

If log_(1/2)(x+2)<-2ltlog_((1)/(4))(2x) and x in (a,b) then b-a=

RESONANCE DPP-JEE MAINS-All Questions
  1. Which of the following is/are correct?

    Text Solution

    |

  2. If vec a and vec b are non-zero and non-collinear vectors, then ve...

    Text Solution

    |

  3. Let A=Minimum(x^2-2x+7),x in R and B= Minimum(x^2-2x+7),x in [2,oo),...

    Text Solution

    |

  4. If vec a , vec b , vec c , vec d are non-zero, non collinear vectors...

    Text Solution

    |

  5. The lines L1: x-2y+6=0&L2: x-2y-9=0 are tangents to the same circle. I...

    Text Solution

    |

  6. The solution set of x in (-pi,pi) for the inequality sin2x+1lt=cosx+2s...

    Text Solution

    |

  7. Equation 12 x^4-56 x^3+89 x^2-56 x+12=0 has four real and distinct roo...

    Text Solution

    |

  8. Equation x^2e^x=k has Three real solution if k in (0,4e^(-2)) Two rea...

    Text Solution

    |

  9. If f is twice differentiable such that f^('')(x)=-f(x) and f^(prime)...

    Text Solution

    |

  10. Equation (x+2)(x+3)(x+8)(x+12)=4x^2 has (A) four real and distinct roo...

    Text Solution

    |

  11. Consider the function f(x)=m x^2+(2m-1)x+(m-2) If f(x)>0AAx in R the...

    Text Solution

    |

  12. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  13. If the ratio of the roots of the equation, x^2+alphax+alpha+2=0 is equ...

    Text Solution

    |

  14. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^3dot(d^2y)...

    Text Solution

    |

  15. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and B=[(4,2,2),(-5,0,alpha),(1,-2,3)...

    Text Solution

    |

  16. Equation of line B C is 14 x+23 y-40=0 (b) 4x-2y+1=0 4x+2y-1=0 (d) ...

    Text Solution

    |

  17. The equation: (5+2sqrt(6))^x^(2-3)+(5-2sqrt(6))^x^(2-3)=10h a s Four ...

    Text Solution

    |

  18. In a parallelogram as shown in the figure (a != b) : equation of the ...

    Text Solution

    |

  19. The two adjacent one of the diagonals of the parallelogram is along th...

    Text Solution

    |

  20. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |