Home
Class 12
MATHS
If function f(x)={(k1(x-pi)^2-1,xlepi),(...

If function `f(x)={(k_1(x-pi)^2-1,xlepi),(k_2cosx,xgtpi):}` is twice differentiable in ordered pair `(k_1,k_2)`. Find this ordered pair.

A

`((1)/(2) , 1)`

B

`( 1, 0)`

C

`((1)/(2) , -1)`

D

`(1 , 1)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)={{:(kx+1", if "xlepi),(cosx", if "xgtpi):} is continuous at x=pi , then the value of 'k' is :

If the function f(x)={((sqrt(2+cosx)-1)/(pi-x)^2 ,; x != pi), (k, ; x = pi):} is continuous at x = 1, then k equals:

If the function f defined as f(x)=(1)/(x)-(k-1)/(e^(2x)-1),x!=0, is continuous at x=0, then the ordered pair (k,f(0)) is equal to:

If f(x)={[x^(2)-2x(k+1)+2,x geq1],[x-1,x<1]}, is continuous and differentiable,then the value of k is

If the function f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", " x= 1):}, is continuous at x=1,find the value of k.

Let k and K be the minimum and the maximum values of the function f(x)=((1+x)^(0.6))/(1+x^(0.6)), and x in[0,1] respectively,then the ordered pair (k,K) is equal to

If the function f(x) = {((cosx)^(1/x), ",", x != 1),(k, ",", x = 1):} is continuous at x = 1, then the value of k is

The value of k such that the function f(x)=|x^(2)+(k-1)|x|-k| is non differentiable at exactly five points is

If the function f(x)={((1-cosx)/(x^(2))",","for "x ne 0),(k,"for " x =0):} continuous at x = 0, then the value of k is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If min and max value of the function f:[pi/4,pi/2] to R, f(theta)=|[-s...

    Text Solution

    |

  2. If (a,b,c) is the image of the point (1,2,-3) in the line (x+1)/2=(y-3...

    Text Solution

    |

  3. If function f(x)={(k1(x-pi)^2-1,xlepi),(k2cosx,xgtpi):} is twice diffe...

    Text Solution

    |

  4. If common tangent to parabola y^2=4x and x^2=4y also touches the circl...

    Text Solution

    |

  5. If alpha is a positive root of p(x)= x^2-x-2 Find lim(x rarr alpha^+) ...

    Text Solution

    |

  6. int(e^(2x)+2e^x-e^(-x)-1)e^(e^x+e^(-x))dx=g(x)e^(e^x+e^(-x)) , then fi...

    Text Solution

    |

  7. The value of underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin...

    Text Solution

    |

  8. Let f (x) = x . [(x)/(2)] for - 10 lt x lt 10 , where [t] denotes the ...

    Text Solution

    |

  9. If the distance of line 2x-y+3=0 from 4x-2y+p=0 and 6x-3y+r=0 is respe...

    Text Solution

    |

  10. The number of four letters word while each consisting 2 distinct and t...

    Text Solution

    |

  11. The natural number m , for which the coefficient of x in the binomial ...

    Text Solution

    |

  12. Four different dice are thrown independently 27 times, then find the e...

    Text Solution

    |

  13. If alpha and beta be two roots of the equation x^(2) -64x+ 256=0 . ...

    Text Solution

    |

  14. The area ( in sq. units ) of the region A={(x,y):|x| + |y| le 1 , 2y^(...

    Text Solution

    |

  15. Find the general solution of the differential equation sqrt(1+x^(2)...

    Text Solution

    |

  16. Let L1 be a tangent to the parabola y^(2) = 4(x+1) and L2 be a tangent...

    Text Solution

    |

  17. If f(x+y)=f(x)f(y) and sum(x=1)^(oo)f(x)=2,x,y in N, where N is the se...

    Text Solution

    |

  18. Let I1= int0^1 (1-x^50)^100 dx and I2= int0^1(1-x^50)^101 dx and I1= l...

    Text Solution

    |

  19. Out of 11 consecutive natural numbers if three number are selected at ...

    Text Solution

    |

  20. A ray of light coming from the point (2,2sqrt(3)) is incident at an a...

    Text Solution

    |