Home
Class 12
MATHS
Find the values of a and b such that the...

Find the values of a and b such that the function defined by `f(x)={5, ifxlt=2a x+b , if2

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

Find the values of a and b such that the function defined by f(x)={{:(5, if xle2), (a x+b , if 2 lt x lt10 ),(21 , ifx ge10):} is a continuous function.

Find the values of a and b so that the function f(x) defined by f(x)={(x^2 +ax+b),(0<=x<2),(3x+2) , (2<=x<=4), (2a x+5b), (4 < x <= 8)} becomes continuous on [0,pi].

Find the values of a and b sucht that the function f defined by f(x) = {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ; if xlt=1, b x+2 ; if x >1 is differentiable at x=1

Find the values of a and b such that the function defined by is continuous. f(x) = {(x^(2)+1","," "xle 2),(ax + b",", 2 lt x lt 10),(2x+1",", " "x ge 10):}

Find the values of a and b so that the function f given by f(x) ={1, if x = 5 is continuous at x=3 and x=5 .

Find the values of a and b so that the function f(x)={(x^2+3x+a ,, ifxlt=1), (bx+2 ,, ifx >1):} is differentiable at each x∈R

Find the values of a and b , if the function f(x) defined by f(x)={x^2+3x+a ,\ \ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ x >1 is differentiable at x=1 .

Find the values of a and b so that the function f given by f(x)={ax+b , if 3 = 5 is continuous at x=3 and x=5.

Find the values of ' a ' so that the function f(x) defined by f(x)={(sin^2a x)/(x^2),\ \ \ x!=0\ \ \ 1,\ \ \ \ \ \ \ \ \ x=0 may be continuous at x=0 .

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A chess game between two grandmasters X and Y is won by whoever first ...

    Text Solution

    |

  2. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

    Text Solution

    |

  3. Find the values of a and b such that the function defined by f(x)={...

    Text Solution

    |

  4. In a geometric progression with common ratio q, the sum of the firs...

    Text Solution

    |

  5. In a set of real numbers a relation R is defined as xRy such tha...

    Text Solution

    |

  6. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

    Text Solution

    |

  7. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))d...

    Text Solution

    |

  8. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

    Text Solution

    |

  9. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

    Text Solution

    |

  10. If the value of the definite integral int ^(-1) ^(1) cos ^(-1) ((1)/(s...

    Text Solution

    |

  11. The real value of k so that the lines x+k y+2=0 3x+2y+1=0 2x+y+2=0" ...

    Text Solution

    |

  12. If 9(27)^(x^2+y+z)+9(27)^(x+y+z^2)+9(27)^(x+y^2+z)=11 then find the nu...

    Text Solution

    |

  13. 2sin^(2)theta + 3 costheta =0

    Text Solution

    |

  14. Evaluate: int(dx)/((x+1)sqrt(1+x-x^(2))

    Text Solution

    |

  15. Two complex numbers z1a n dz2 have relation R such that z1Rz2, arg(z1...

    Text Solution

    |

  16. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  17. Consider quadratic equations x^(2)-ax+b=0……….(i) and x^(2)+px+q=0……….(...

    Text Solution

    |

  18. Number of points where the function f(x)=|x^2-3x+2|+"cos"|x| is not di...

    Text Solution

    |

  19. Let f(x) be an onto function defined from [0, 2] to [3, 5] . hich of...

    Text Solution

    |

  20. int0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

    Text Solution

    |