Home
Class 12
MATHS
f(x)=([729p(1+x)]^(1/7)-3)/([729(1+qx)]^...

`f(x)=([729p(1+x)]^(1/7)-3)/([729(1+qx)]^(1/3)-9), and f(x)` is continuous at `x=0` , then

A

`21qf(0)-p=0`

B

`21q^2f(0)-p^3=0`

C

`21p^2f(0)-q^3=0`

D

`p^2f(0)-7q^2=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

If f(x)= {:{((x^(2) + 3x+p)/(2(x^(2)-1)) , xne 1),(5/4, x = 1):} is continuous at x =1 then

If f(x)=x^((1)/(x-1)) for x!=1 and f is continuous at x=1 then f(1)

If f(x) f(x) = (log{(1+x)^(1+x)}-x)/(x^(2)), x != 0 , is continuous at x = 0 , then : f(0) =

If f(x) = (sqrt(x+3)-2)/(x^(3)-1) , x != 1 , is continuous at x = 1, then f(1) is

If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : f(0) =

Find the value of f(1) that the function f(x)= (9(x^(2/3)-2x^(1/3)+1))/((x-1)^(2)), x ne 1 is continuous at x =1

If f(x) = sqrt((1)/(tan^(-1)(x^(2)-4x + 3))) , then f(x) is continuous for

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If sum of infinite G.P whose first ter is a common ratio r is 5 and su...

    Text Solution

    |

  2. For a binomial probability distribution , sum and product of mean and ...

    Text Solution

    |

  3. f(x)=([729p(1+x)]^(1/7)-3)/([729(1+qx)]^(1/3)-9), and f(x) is continuo...

    Text Solution

    |

  4. A=[(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma ,alpha+gamm...

    Text Solution

    |

  5. Let n^(th)term of any sequence is given Tn=(-1^3+2^3-3^3+4^3+. . .+(2n...

    Text Solution

    |

  6. Let (1+isin alpha)/(1-2i sin alpha) is purely imaginary and (1+i cos b...

    Text Solution

    |

  7. The remainder when 7^(2022)+3^(2022) is divisible by 5 is

    Text Solution

    |

  8. The sum of all the values of x satisfying cos^(-1)x-2sin^(-1)x=cos^(-1...

    Text Solution

    |

  9. f(x)=int0^x e^(x-t)f'(t)dt+e^x(x^2-x+1). Find maximum value of f(x).

    Text Solution

    |

  10. If y=cos^(-1)(x^2-4x+2)/(x^2+3) , then domain is :

    Text Solution

    |

  11. If xdy=(sqrt(x^2+y^2)+y)dx and y(1)=0, then y(2) equals:

    Text Solution

    |

  12. If a(n+2)=2/a(n+1)+an,a1=1,a2=2 , and ((a1+1/a2)/a3).((a2+1/a3)/a4)......

    Text Solution

    |

  13. Let z1 in C,|z1-3|=1/2,z2 in C, |z2+|z2-1||=|z2-|z2+1||, then least va...

    Text Solution

    |

  14. If A=[[0,1,0],[1,0,0],[0,0,1]] and B0=2A^(98)+A^(49),Bn=adj(B(n-1)), t...

    Text Solution

    |

  15. Tangent at two points P and Q on parabola y^2=2x-3 meet at R(0,1) , th...

    Text Solution

    |

  16. Let hyperbola H : x^2-y^2=1 and ellipse E : x^2/a^2+y^2/b^2=1 and ecce...

    Text Solution

    |

  17. A(cos t , sin t), B(sin t ,-cos t) and C(a,b) form an equilateral tria...

    Text Solution

    |

  18. A password is to be made of 6 to 8 digits from either of the sets A,B,...

    Text Solution

    |

  19. The solution of differential equation sin^2(2x) dy/dx+(8sin^2(2x)+4 si...

    Text Solution

    |

  20. Let f(x)=(5x^2)/2 +alpha/x^5, (x gt 0) and minimum value of f(x) is 14...

    Text Solution

    |