Home
Class 12
MATHS
If f(x) {(mx + 1,x le (pi)/(2)),((sin x)...

If `f(x) {(mx + 1,x le (pi)/(2)),((sin x)+ n,x gt (pi)/(2)):}` is continuous at `x= (pi)/(2)`, then …...

A

`m=1, n= 0`

B

`m= (n pi)/(2 ) + 1`

C

`n= (m pi)/(2)`

D

`m = n = (pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Fillers)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (True/False)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Long Answer Type Questions)|10 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

f(x)= {{:((1-sinx)/(pi-2x)","xne(pi)/(2)),(lambda ","" "x=(pi)/(2)):} If f(x) is continious of x= (pi)/(2) then lambda =…………….

f(x)= {(-4 sin x + cos x",",x le - (pi)/(2)),(a sin x + b",",-(pi)/(2) lt x lt (pi)/(2)),(cos x + 2",",(pi)/(2) le x):} . If f(x) is continuous for x in R , then find the value of a and b.

f(x) = {(kx+1",",x lt= pi),(cos x,x gt pi):} If the function f(x) is continuous at x= pi , then find the value of k.

The function f(x)= (sin 3x)^(tan^(2)3x) is continuous at x= (pi)/(6) then f((pi)/(6)) = ……

Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"for",-(pi)/(2) lt x lt (pi)/(2)),(cos x,"for",(pi)/(2) le x le pi):} . If f is continuous on [-pi, pi) , then find the values of a and b.

f(x) = (1- tan x)/(4x-pi), x ne (pi)/(4) . If the function f(x), x in [0, (pi)/(2)) is continuous then find f((pi)/(4)) .

f(x)= (sqrt2 cos x-1)/(cot x-1), x ne (pi)/(4) . If the function f(x) is continuous at x= (pi)/(4) then find f((pi)/(4))

If f(x)=x sin x then f'(pi/2) = ……

Find the values of k so that the function f is continuous at the indicated point f(x) = {((k cos x)/(pi-2x)",","if" x ne (pi)/(2)),(3,"if" x= (pi)/(2)):} " at " x= (pi)/(2)

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-NCERT Exemplar Problems and Solution (Objective Type Questions)
  1. If y= log ((1- x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  2. If y= sqrt(sin x + y), then (dy)/(dx) is equal to

    Text Solution

    |

  3. The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

    Text Solution

    |

  4. If x= t^(2) and y= t^(3), then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  5. The value of c in Rolle's theorem for the function f(x)= x^(3) in the ...

    Text Solution

    |

  6. For the function f(x)= x + (1)/(x), x in [1, 3] the value of c for mea...

    Text Solution

    |

  7. If f(x)= 2x and g(x) = (x^(2))/(2) + 1, then which of the following ca...

    Text Solution

    |

  8. The function f(x)= (4-x^(2))/(4x-x^(3)) is

    Text Solution

    |

  9. The set of points where the function f given by f(x)= |2x-1| sin x is ...

    Text Solution

    |

  10. The function f(x)= cot x is discontinuous on the set

    Text Solution

    |

  11. The function f(x)= e^(|x|) is

    Text Solution

    |

  12. If f(x)= x^(2) sin ((1)/(x)), where x ne 0, then the value of the func...

    Text Solution

    |

  13. If f(x) {(mx + 1,x le (pi)/(2)),((sin x)+ n,x gt (pi)/(2)):} is contin...

    Text Solution

    |

  14. If f(x) = |cos x|, then f'((pi)/(4)) is equal to …… 0 lt x lt (pi)/(2)

    Text Solution

    |

  15. If y= log ((1- x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  16. If y= sqrt(sin x + y), then (dy)/(dx) is equal to

    Text Solution

    |

  17. The derivative of cos^(-1) (2x^(2)-1) w.r.t cos^(-1)x is

    Text Solution

    |

  18. If x= t^(2) and y= t^(3), then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  19. The value of c in Rolle's theorem for the function f(x)= x^(3) in the ...

    Text Solution

    |

  20. For the function f(x)= x + (1)/(x), x in [1, 3] the value of c for mea...

    Text Solution

    |