Home
Class 12
MATHS
If f(x)={a x^2+b ,0lt=x<1 4,x=1x+3,1<xg...

If `f(x)={a x^2+b ,0lt=x<1 4,x=1x+3,1

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos
  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos

Similar Questions

Explore conceptually related problems

If f(x)={|1-4x^2|,0lt=x<1 and [x^2-2x],1lt=x<2 where [.] denotes the greatest integer function, then

If f(x) ={ x^2-1, 0 lt x lt 2 , 2x+3 , 2 le x lt 3 then the quadratic equation whose roots are lim_(x->2^+)f(x) and lim_(x->2^-)f(x) is

If f(x)={1+x, for 0lt=xlt=2 3-x, for 2lt x lt=3 then the number of values of x at which the function fof is not differentiable is 2 (b) 1 (c) 3 (d) 0

If f(x)=max{x^3, x^2,1/(64)}AAx in [0,oo),t h e n f(x)={x^2,0lt=xlt=1x^3,x > 0 f(x) = { 1/(64), 0 lt= x lt = 1/4 x^2, 1/4 1 f(x)={1/(64),0lt=xlt=1/8x^2,1/8 1 f(x)={1/(64),0lt=xlt=1/8x^3,x >1/8

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relation g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relating g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

If f (x) = (x ^(2) - 3x +4)/(x ^(2)+ 3x +4), then complete solution of 0lt f (x) lt 1, is :

Let f(x)={1+(2x)/a ,0lt=x<1 and ax ,1lt=x<2 If lim_(x->1)f(x) exists ,then a is (a) 1 (b) -1 (c) 2 (d) -2

Let f (x)= {{:(x ^(2),0lt x lt2),(2x-3, 2 le x lt3),(x+2, x ge3):} then the tuue equations:

The number of points of discontinuity of g(x)=f(f(x)) where f(x) is defined as, f(x)={1+x ,0lt=xlt=2 3-x ,2 2

RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x...

    Text Solution

    |

  2. The function f(x)=tanx is discontinuous on the set

    Text Solution

    |

  3. The function f(x)={(sin3x)/x ,x!=0k/2,x=0 is continuous of x=0,t h e ...

    Text Solution

    |

  4. If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at ea...

    Text Solution

    |

  5. The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0<xlt...

    Text Solution

    |

  6. If f(x)=1/(1-x), then the set of points discontinuity of the function ...

    Text Solution

    |

  7. Let f(x)=(tan(pi/4-x))/(cot2x),x!=pi/4 . The value which should be ass...

    Text Solution

    |

  8. The function f(x)=(x^3+x^2-16 x+20)/(x-2) is not defined for x=2. In o...

    Text Solution

    |

  9. If f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0 is continuous at...

    Text Solution

    |

  10. If f(x)={a x^2+b ,0lt=x<1 4,x=1x+3,1<xgeq2 then the value of (a , b) ...

    Text Solution

    |

  11. If the function f(x) defined by f(x)={(log(1+3x)-log(1-2x))/x\ \ \ ,\ ...

    Text Solution

    |

  12. If f(x)={(1-cos10 x)/(x^2) , x<0 \ \ \ \ \ \ \ \a,\ \ \ x=0 \ \ \ (sqr...

    Text Solution

    |

  13. If f(x)=xsin(1/x) ,\ x!=0 , then the value of the function at x=0 , ...

    Text Solution

    |

  14. The value of k which makes f(x)={sin1/x ,x!=0k ,x=0con t inuou sa tx=...

    Text Solution

    |

  15. The values of the constants a , b, c for which the function f(x)={(1+a...

    Text Solution

    |

  16. The points of discontinuity of the function f(x)={2sqrt(x)\ \ \ ,\ \...

    Text Solution

    |

  17. If f(x)={[(1-sin^2x)/(3cos^2x),xltpi/(2)],[a,x=pi/2],[(b(1-sinx))/((pi...

    Text Solution

    |

  18. The points of discontinuity of the function f(x)={1/5\ (2x^2+3)\ ,\ ...

    Text Solution

    |

  19. The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0<xlt...

    Text Solution

    |

  20. If f(x)={(sin(cosx)-cosx)/((pi-2x)^2)\ \ \ ,\ \ \ x!=pi/2\ \ \ \ \ \ \...

    Text Solution

    |