Home
Class 11
MATHS
Find the value of a so that f(x)={{:(a...

Find the value of a so that
`f(x)={{:(ax+3,if x lt 3),(3-x +2x^(2),if x ge3):}` is continuous on R is continuous on R

Text Solution

Verified by Experts

The correct Answer is:
a=5
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    AAKASH SERIES|Exercise EXERCISE 3.1 (SHORT ANSWER QUESTIONS)|10 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) ADVANCED|5 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

Similar Questions

Explore conceptually related problems

Find the value of 'a' so that f(x) = {{:(ax + 3 " if " x lt 3 ),( 3 - x + 2x^(2) " if " x ge 3 ):} is continuous on R .

Find the value of f(0) so that f(x) = (1)/(x) - (2)/(e^(2x) -1) , x ne 0 is continuous at x = 0 .

Find the value of f(0) so that f(x) = ((a + x)^(2) sin (a + x) - a^(2) sin a)/(x) is continuous at x = 0 .

f(x) = {{:(4-3x " if " x le 0),(2a + x " if " x ge 0):} is continuous at x = 0 then a =

Find the value of f(0) so that f (x) = (1 + 2x)^(1//3x) is continuous at x = 0

The value of f(0) so that f(x)=(3x+4 tan x)/(x) is continuous at x=3 is

The value of f(0) so that f(x)=(3x+4 tan x)/(x) is continuous at x=0 is

Find the relationship between a and b so that the function f defined by f(x)={{:(ax+1," if "x le 3),(bx+3," if "x gt 3):} is continuous at x=3.

AAKASH SERIES-CONTINUITY -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Find the value of a so that f(x)={{:(ax+3,if x lt 3),(3-x +2x^(2),if...

    Text Solution

    |

  2. Find the values of a and b if f(x)={{:(ax-b,"for" x le -1),(3x^(2)-...

    Text Solution

    |

  3. The value of f(0) so that f(x)=(log(1+x//a)-log(1-x//b))/(x) is contin...

    Text Solution

    |

  4. Show that the function f(x)=(x)/(1+e^(1//x),x ne 0, f(0)= 0 is continu...

    Text Solution

    |

  5. Show that the function f(x) =x sub (1)/(x) , x ne 0 f(0) =0 is conti...

    Text Solution

    |

  6. Show that the function f(x) = x cos (1//x), x ne 0 f(0) = 1 is discont...

    Text Solution

    |

  7. If the function f(x)=(1-cos^(3)ax)/(x sin x) for x ne 0f(0) =1/2 is co...

    Text Solution

    |

  8. Discuss the continuity of f(x)={{:(2x=-1,if x le1),(x^(2),if 1 lt x ...

    Text Solution

    |

  9. If f(x)={{:((sqrt(1+kx)-sqrt1-kx)/(x),"for" -1 le x0),(2x^(2)+3x-2,"fo...

    Text Solution

    |

  10. Define (i) f(x)=(1+5x)^(1//x) is continuous at x = 0.

    Text Solution

    |

  11. Define (i) f(x)=(1+x)/(1-x)^(1//5x) is continuous at x = 0.

    Text Solution

    |

  12. Define (i) f(x)=(1+2x)^(1//3x) is continuous at x = 0.

    Text Solution

    |

  13. Find the values of a and b so that the function defined by f(x) = f(...

    Text Solution

    |

  14. The value of f(0) so that the function f(x)=((27-2x)^(1//3)-3)/(9-3(24...

    Text Solution

    |

  15. The value of f(0), so that the function f(x)=(sqrt(a^(2)-ax+x^(2))-sqr...

    Text Solution

    |

  16. Let f(x)=(1-tan x)/(4x-pi), x ne pi/4, x in [0,pi/2]." If f(x) is cont...

    Text Solution

    |

  17. Find the value of f(0) so that f(x) = (1)/(x) - (2)/(e^(2x) -1) , ...

    Text Solution

    |

  18. Find the value of AO) so that the function f(x) = ((a+x)^(2)sin(a+x)-a...

    Text Solution

    |

  19. If f(x) =(e^(1)/(x^(2))+1)/(e^(1)/(x^(2))-1) (x ne 0) is continuous a...

    Text Solution

    |

  20. Let f(x) be an even function forall x in R If f(x) is continuous at x...

    Text Solution

    |