Home
Class 12
MATHS
The function y=(2x-1)/(x-2),(x!=2) (a...

The function `y=(2x-1)/(x-2),(x!=2)` (a)is its own inverse (b)decrease at all values of `x` in the domain (c)has a graph entirely above the `x-` axis (d)is unbounded.

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

The function y=x/(1+x^2) decreases in the interval

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

Find the value of P such that the vertex of y=x^2+2p x+13 is 4 units above the x-axis.

The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x-axis if and only if

The function y=a log|x|+b x^(2)+x has two extreme values for x=-1 and x=2. Find the values of a and b.

The function y=2x^2-log(x) is monotonically increasing for values of x(!=0) satisfying the inequalities____ and monotonically decreasing for values of x satisfying the inequalities_____.

The area enclosed between the curve y^(2)(2a-x)=x^(3) and the line x=2 above the x-axis is

Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x+b has exactly one extremum. Statement 2: If a cubic function is monotonic, then its graph cuts the x-axis only one.

If a is an integer lying in [-5,30] , then the probability that the graph of y=x^2+2(a+4)x-5a+64 is strictly above the x-axis is

The value of f(0) so that the function f(x)=frac(2x-sin^-1x)(2x+tan^-1x is continuous at each point in its domain is equal to

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  2. Let f(x)=a x^2-b|x|, where aa n db are constants. Then at x=0,f(x) ha...

    Text Solution

    |

  3. The function y=(2x-1)/(x-2),(x!=2) (a)is its own inverse (b)decrea...

    Text Solution

    |

  4. Let f'(x)gt0 and g'(x)lt0 for all x in R, then

    Text Solution

    |

  5. If f(x)=x^3-x^2+100x+2002 ,t h e n a) f(1000)>f(1001) b) f(1/(2000...

    Text Solution

    |

  6. If f^(prime)(x)=g(x)(x-a)^2,w h e r eg(a)!=0,a n dg is continuous at x...

    Text Solution

    |

  7. The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/...

    Text Solution

    |

  8. Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local max...

    Text Solution

    |

  9. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

    Text Solution

    |

  10. Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

    Text Solution

    |

  11. Find the number of solutions of the equation x^3+2x^2+5x+2cosx=0 in [0...

    Text Solution

    |

  12. f(x)=(x-1)|(x-2)(x-3)|dot Then f decreases in (a)(2-1/(sqrt(3)),2) (b...

    Text Solution

    |

  13. f(x)=(x-8)^4(x-9)^5,0lt=xlt=10 , monotonically decreases in (a) (76/9...

    Text Solution

    |

  14. f(x)=(x-2)|x-3| is monotonically increasing in (a)(-oo,5/2)uu(3,oo)...

    Text Solution

    |

  15. F(x)=|xlog(e)x|monotonically decreases in which interval?

    Text Solution

    |

  16. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

    Text Solution

    |

  17. A function g(x) is defined as g(x)=1/4f(2x^2-1)+1/2f(1-x^2) and f(x) i...

    Text Solution

    |

  18. Given that f'(x) > g'(x) for all real x, and f(0)=g(0). Then f(x) < ...

    Text Solution

    |

  19. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

    Text Solution

    |

  20. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |