Home
Class 12
MATHS
Find the value of a and b if the functio...

Find the value of a and b if the function given below is continuous. ` f(x)={(5, if x le 2),(ax+b, if 2ltxlt10),(21, if xge10):}`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Find the values of a and b such that the function f defined by f(x) = {(ax^2+b, if x 1):} .

Examine the continuity of given function f(x)={{:(2x+1, "if" xle0),(x, "if"0ltxlt1),(2x-1, "if"xge1):} at x=0,1

Find the value of k so that the function f defined below is continuous at x=0 f(x)={[(sin2x)/(5x)",",x!=0],[k",",x=0]:}

Find the values of a and b, if the function f defined as f(x) {(x^2+3x+a, if xle1),(bx+2,if x>1):} is diffentiable at x = 1

Find the point of discontinuity of the function f(x)={:{((sin2x)/(x)", if "xlt0),(x+2", if "xge0):}

Show that the function f(x)=2x-|x| is continuous at x=0 .

Find the value of k if the function f(x) defined by f(x)={(2x-1,when x 2):} is continous at x=2.

Find the value of k if the function f(x) defined by f(x)= {(2x-1,whenx 2):} is continous at x=2.

Find the value of k so that the function f is continuous at x=pi//2,f(x)={:{((kcosx)/(pi-2x)", if "x!=(pi)/(2)),(5", if "x=(pi)/(2)):}

Find the values of a and b such that the function f defined by f(x)={:{((x-4)/(|x-4|)+a", if "xlt4),(a+b", if "x=4" is a"),((x-4)/(|x-4|)+b", if "xgt4):} continuous function at x=4 .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Let a,b and c are real number and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+...

    Text Solution

    |

  2. If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A'=I , then fi...

    Text Solution

    |

  3. Find the value of a and b if the function given below is continuous. ...

    Text Solution

    |

  4. If y=(sinx)^(tanx), find frac[dy][dx]

    Text Solution

    |

  5. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

    Text Solution

    |

  6. Prove that all normals to the curve x = a cos t + at sin t, y = a sin ...

    Text Solution

    |

  7. If y=(tan^(-1)x)^2 then show that (x^2+1)^2 (d^2y)/(dx^2)+2x(x^2+1)((d...

    Text Solution

    |

  8. Find intsec^3xdx

    Text Solution

    |

  9. int0^(pi/2)sin2x log(tanx)dx

    Text Solution

    |

  10. Solve (1+x^2)frac[dy][dx]+2xy-4x^2=0 subject to the initial condition ...

    Text Solution

    |

  11. Evaluate: intfrac[x+3][sqrt(5-4x+x^2)]dx

    Text Solution

    |

  12. If with reference to the eight handed system of mutually perpendicular...

    Text Solution

    |

  13. Let veca and vecb be two unit vector and alpha be the angle between th...

    Text Solution

    |

  14. Find the distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12.

    Text Solution

    |

  15. Solve for x: cot^(-1)(x-1)+cot^(-1)(x-2)+cot^(-1)(x-3)=0

    Text Solution

    |

  16. Show that sin^(-1)frac[12][13]+cos^(-1)frac[4][5]+tan^(-1)frac[63][16]...

    Text Solution

    |

  17. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

    Text Solution

    |

  18. It is given that for the function f given by f(x)=x^(3)+bx^(2)+ax,x in...

    Text Solution

    |

  19. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

    Text Solution

    |

  20. Evaluate int0^(frac[pi][2])sin2xcdotlog(tanx)dx

    Text Solution

    |