Home
Class 12
MATHS
Let {{:(px^(2) +1",", "when " x le1),(x+...

Let `{{:(px^(2) +1",", "when " x le1),(x+p",", "when" x gt1):}` The value of p for which `f(x)` is derivable at `x=1` is-

A

`1/2`

B

`-1/2`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 3|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):} then -

If f(x) ={{:((x-1)/(2x ^(2) -7x +5),"when"x ne1),(-1/3, "when" x=1):} then the value of f '(1) is-

Let f(x)=(ax)/(x+1), x ne1 , then the value of 'a' for which f[f(x)]=x is

If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):} then f'(1) is equal to-

f(x)={:{(x^2,"when "x lt0),(x,"when "0 lexlt1),(1/x,"when "x ge1):} Value of f(1/2) is____

f(x)={:{(x^2,"when "x lt0),(x,"when "0 lexlt1),(1/x,"when "x ge1):} Value of f(1) is____

f(x)={:{(x^2,"when "x lt0),(x,"when "0 lexlt1),(1/x,"when "x ge1):} Value of f(-2) is______

f(x)={:{(x^2,"when "x lt0),(x,"when "0 lexlt1),(1/x,"when "x ge1):} Value of f(-sqrt3) is___

A function y= f(x) is defined as follows : y=f(x)= {(x^(2) " when " 0 le x le 1 ), ( sqrt(x) " when " x ge 1 ) :} Then the area ( in square unit ) above the x- axis included between the curve y= f(x) and the line x = 4 is-

f(x)={:{(x^2,"when "x lt0),(x,"when "0 lexlt1),(1/x,"when "x ge1):} Value of f(sqrt3) is_____

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 5
  1. If a focal chord of y ^(2)=16x is a tangent to (x-6)^(2) +y^(2) =2,. t...

    Text Solution

    |

  2. If A={1,2,3,4,5}, B= {2,4,6}, C= {3,4,6} then (A uuB) nnC is-

    Text Solution

    |

  3. The orbit of the earth around the sun is an ellipes with the sun at on...

    Text Solution

    |

  4. In which of the following intervals two function f (x) =x and g(x) =+ ...

    Text Solution

    |

  5. If A(n) ={ x:2 2+(1)/(n) le x le 10- (1)/(n), n =1,2,3…}. then the val...

    Text Solution

    |

  6. If two sets A and B have 99 elements in common , then the number of el...

    Text Solution

    |

  7. The range of the function f(x) =sin (sin ^(-1) x+cos ^(-1)x) (|x| le 1...

    Text Solution

    |

  8. The value of lim(x to 0) (10^(x)-2^(x)-5^(x)+1)/(x log(1+x)) is -

    Text Solution

    |

  9. If f (x) =(3x+2)/(5x-3) (x ne (3)/(5)), then which one of the followin...

    Text Solution

    |

  10. If f(x) {{:(x^(2) -3",", "when " 2 lt x lt 3),(2x+5"," ,"when" 3 lt x ...

    Text Solution

    |

  11. Let f(x) ={{:(((4^(x) -1)^(3))/(sin ""x/alog (1+ (x^(2))/(3)))"," ,"wh...

    Text Solution

    |

  12. Let {{:(px^(2) +1",", "when " x le1),(x+p",", "when" x gt1):} The valu...

    Text Solution

    |

  13. The function f satisfies the relation f(x+y) =f(x) f(y) for all ral x,...

    Text Solution

    |

  14. The dervative of f (x) =|x-1| + |x-4| at x=3 is equal to-

    Text Solution

    |

  15. If f (x) = sin (log x) then the value of f(xy)+f((x)/(y))-2f (x) cos ...

    Text Solution

    |

  16. The value of lim (xto4) (3- sqrt(5+x))/(1-sqrt(5-x)) is-

    Text Solution

    |

  17. The domain of definition of the function f (x) =(sin ^(-1) (x-3))/(sqr...

    Text Solution

    |

  18. It the graph of the function y=f (x) is symmetrical about the line x=2...

    Text Solution

    |

  19. lim ( x to oo) (1+ (1)/(x))^(x//2) is equal to-

    Text Solution

    |

  20. If the function f (x) is defined by f (x) =a+bx and f ^( R)= f f f … (...

    Text Solution

    |