Home
Class 12
MATHS
If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) "...

If `f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2)",", 0 le x le 1):}` is continuous in [-1,1] then p is equal to

A

`-1`

B

`(-1)/2`

C

`1/2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

f(x)={((sqrt(1+px)-sqrt(1-px))/(x),,,-1 le x lt 0),((2x+1)/(x-2),,,0le x le 1):} is continuous in the interval [-1,1], then p equals :

If f(x) = {((sqrt(1+kx)-sqrt(1-kx))/(x), "if" -1 le x lt 0),((2x+k)/(x-1), "if" 0 le x le1):} is continuous at x = 0, then the value of k is

f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):} at x = 0 .

f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),((2x+1)/(x-1),if 0 le x le 1):} at x = 0 .

If f(x) = {{:((sqrt(4+ax)-sqrt(4-ax))/x,-1 le x lt 0),((3x+2)/(x-8), 0 le x le 1):} continuous in [-1,1] , then the value of a is

If f(x)={((sqrt(1+kx)-sqrt(1-kx))/(x),",","for" -1 lex lt 0),(2x^(2)+3x-2,",","for" 0 le x le1):} is continuous at x=0 then find k

Let f(x)={{:((sqrt(1+ax)-sqrt(1-ax))/x ,","-1 le x lt 0),((2x+1)/(x-2), "," 0 le x le 1):} The value of a so f is continuous on [-1,1] is

If f(x)= {{:((sqrt(1+lambdax)- sqrt(1 - lambdax))/(x) "," -1 le x lt 0 ),((2x + 1)/(x - 2) ", " - 0le x lt 1):} is continuous at x = 0 then lambda = ?

If f(x)= {{:((sqrt(1+kx)-sqrt(1-kx))/x", if "-1/2 lex lt 0),(2x^(2)+3x-2", if "0 le x le 1):} is continuous at x = 0 , then k = ….

TARGET PUBLICATION-CONTINUITY-Critical Thinking
  1. If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt ...

    Text Solution

    |

  2. If f(x)={:{(x sin x", for " 0 lt x le pi/2),(pi/2 sin (pi+x)", for " p...

    Text Solution

    |

  3. If f(y)={(((e^(2y)-1)*siny)/(y^(2)),", for "y ne 0),(4,", for "y=0):}...

    Text Solution

    |

  4. For the function f(x)={((sin^(2)ax)/(x^(2))",","where " x ne 0),(1",",...

    Text Solution

    |

  5. The points of discontinuity of tan x are

    Text Solution

    |

  6. If f(x)={:{((sin 2x)/(sqrt(1-cos 2x))", for " 0 lt x lt pi/2),((cos x)...

    Text Solution

    |

  7. If {:(f(x),=(x cos x - 3tan x)/(x^(2)+2sinx),",",x != 0),(,=1, ",",x =...

    Text Solution

    |

  8. If f(x) ={((5^(x)-e^(x))/(sin 2x),",",x != 0),(1/2(log 5+1),",",x = 0)...

    Text Solution

    |

  9. f(x)={((5^(cosx)-1)/((pi)/(2)-x)",", x ne (pi)/(2)), (log 5"," , x =(p...

    Text Solution

    |

  10. If f(x) {:( =((2^(x)-1)^(2))/(sin x.log(1+x))", if " x != 0 ),(= ...

    Text Solution

    |

  11. If f(x) = (tan(pi/4-x))/(cot2x), x != pi/4, is continuous in (0, pi/2)...

    Text Solution

    |

  12. If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2...

    Text Solution

    |

  13. The function f(x) = (x^(2)-4)/(sin x-2) is

    Text Solution

    |

  14. If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0...

    Text Solution

    |

  15. If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","f...

    Text Solution

    |

  16. The value of a and b such that the function defined by f(x) = {(7,",...

    Text Solution

    |

  17. If f(x)=(e^(x)+e^(-x)-2)/(x sin x), for x in [(-pi)/(2), (pi)/(2)]-{0}...

    Text Solution

    |

  18. Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)),x!=1,2 6,x=...

    Text Solution

    |

  19. The values of a and b so that the function f(x) = {{:(x + a sqrt(2) si...

    Text Solution

    |

  20. If the function f(x) = {(1+(sin)(pi x)/2,",","for"-oo lt x le 1),(ax+b...

    Text Solution

    |