Home
Class 12
MATHS
Let f : R to R be defined, by {{:(k-2x,...

Let `f : R to R ` be defined, by `{{:(k-2x,"if"" "x le -1),(2x+3,"if" " "xgt -1):}`
If f has a local minimum at x=-1 , then a possible value of k is

A

1

B

0

C

`-1/2`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

Is the function f , defined by f(x)={{:(x^(2),"if "xle1),(x,"if "xgt1):} continuous on R ?

If f: R to R defined by f(x) ={{:(2x+5, if, x gt 0),(3x-2, if, x le 0):} then f is

Let f:R to R defined by f(x)={{:(2x-1,if x lt 3),(5, if x ge 3):} Then show that Lt_(x to 3) f(x)=5

If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a continuous function on R, then find k .

If f: R to R is defined by f(x)={{:(,(1+3x^(2)-cos2x)/x^(2),"for "x ne 0),(,k,"for x=0"):}

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1...

    Text Solution

    |

  2. If ma and M respectively denote the minimum and maximum of f(x) =(x-1)...

    Text Solution

    |

  3. Let f : R to R be defined, by {{:(k-2x,"if"" "x le -1),(2x+3,"if" " "...

    Text Solution

    |

  4. p and q are distinct prime numbers and if the equation x^2 -px ...

    Text Solution

    |

  5. Given P(x)=x^(4)+ax^(3)+bx^(2)+cx +d such that x=0 is the only real ro...

    Text Solution

    |

  6. A curve passes through the point (2,0) and the lope of the tangent at ...

    Text Solution

    |

  7. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

    Text Solution

    |

  8. The curve y=ax^2+bx has minimum at (2,-12) on it. Then (a,b) =

    Text Solution

    |

  9. If f(x) = a/x +bx has minimum at (2,1) then (a,b) =

    Text Solution

    |

  10. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

    Text Solution

    |

  11. If a quadratic function in x has the value 9 when x=1 and has maximum ...

    Text Solution

    |

  12. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

    Text Solution

    |

  13. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  14. If the product of two positive numbers is 400 then the minimum value o...

    Text Solution

    |

  15. The sum of two positive numbers is 12. The numbers so that the sum of ...

    Text Solution

    |

  16. The difference of two positive numbers is 10 . If the square of the gr...

    Text Solution

    |

  17. The sum of three numbers is 30 . The first plus three times the second...

    Text Solution

    |

  18. Divide 64 into two parts such that the sum of the cubes of two parts i...

    Text Solution

    |

  19. The maximum value of xy subject to x+y =7 is

    Text Solution

    |

  20. The sum of two numbers is 20 . If the product of the square of one num...

    Text Solution

    |