Home
Class 12
MATHS
Find the values of p and q , for which f...

Find the values of `p` and `q ,` for which `f(x)={(1-sin^3x)/(3cos^2x)p(q(1-sinx)/((pi-2x)^2),ifx(pipi)/2` is continuous at `x=pi/2dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

find values of p and q for which f(x) = {(1-sin^3x)/(3cos^2x) , if x pi/2 is continuous at x = pi/2

Let f(x)={(1-s in^3x)/(3cos^2x) , if x pi/2 . If f(x) is continuous at x=pi/2 , find a and b .

f(x)={(sin(cos x)-cos x)/((pi-2x)^(3)),quad if x+-(pi)/(2) and k,quad if x=(pi)/(2) is continuous at x=(pi)/(2), then k

If f(x)={(((1-sin^(3)x))/(3cos^(2)x)",",x lt (pi)/(2)),(a",",x=(pi)/(2)),((b(1-sinx))/((pi-2x)^(2))",",x gt (pi)/(2)):} is continuous at x=(pi)/(2) , then the value of ((b)/(a))^(5//3) is

f(x)=1+2sin x+3cos^(2)x,0<=x<=(2 pi)/(3)

Write the values of x in [0,pi] for which sin2x,(1)/(2), cos 2x are in A.P.

The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x , x 0} is continuous for all x in R, are: (1) p=1/2, q=-3/2 (2) p=5/2, q=-1/2 (2) p=-3/2, q=1/2 (4) p=1/2, q=3/2

If f(x)={{:((1-sinx)/(pi-2x),,","xne(pi)/(2)),(lambda,,","x=(pi)/(2)):},"be continuous at "x=(pi)/(2), then value of lambda is

Find the value of x in [-pi,pi] for which f(x)=sqrt(log_(2)(4sin^(2)x-2sqrt(3)sin x-2sin x+sqrt(3)+1)) is defined.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the vector and Cartesian equations of the line through the point ...

    Text Solution

    |

  2. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and the...

    Text Solution

    |

  3. Find the values of p and q , for which f(x)={(1-sin^3x)/(3cos^2x)p(q(1...

    Text Solution

    |

  4. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

    Text Solution

    |

  5. Prove that : tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

    Text Solution

    |

  6. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

    Text Solution

    |

  7. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

    Text Solution

    |

  8. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

    Text Solution

    |

  9. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) wrt sin ^(-1)((2x)/(1+x^2))d...

    Text Solution

    |

  10. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

    Text Solution

    |

  11. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

    Text Solution

    |

  12. Find the values of a and b , if the function f defined by f(x)={x^...

    Text Solution

    |

  13. A coaching institute of English (subject) conducts classes in two batc...

    Text Solution

    |

  14. If 213(-1 0-1-1 1 0 0 1 1)(1 0-1)=A , then write the order of matrix A...

    Text Solution

    |

  15. If A=(3 5 7 9) is written as A = P + Q, where P is a symmetric matrix ...

    Text Solution

    |

  16. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

    Text Solution

    |

  17. If | vec ax vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then writ...

    Text Solution

    |

  18. If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ ve...

    Text Solution

    |

  19. Write the equation of a plane which is at a distance of 5sqrt(3) units...

    Text Solution

    |

  20. Using integration find the area of the region bounded by the curves y=...

    Text Solution

    |