Home
Class 12
MATHS
If p is a constant and f(x) =|(x^2,x^3...

If p is a constant and `f(x) =|(x^2,x^3,x^4),(2,3,6),(p,p^2,p^3)|` if `f'(x)=0` have roots `alpha,beta` , then

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If P(x) is a polynomial degree four with leading coefficient one such that P(1)=2,P(2)=6,P(3)=12,P(4)=20. Also P(x)=0 has roots alpha, beta, gamma and delta . Then the value of ((alpha+3)(beta+3)(gamma+3)(delta+3))/(100)

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p^2,p^(3)):}| where p is a constant. What is the value of p for which f''(0)=0 ?

Consider the function f(x) = |(x^3,sinx,cosx),(6,-1,0),(p,p^2,p^3)|, where p is constant. What is the value of f'(0) ? What is the value of p for which f''(0)=0

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of p for which f''(0) = 0 ?

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of f'(0) ?

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p,p^(3)):}| where p is a constant. What is the value of f'(0) ?

If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}| , where p is a constant, then (d^(3))/(dx^(3))(f(x)) , is

Consider the quadratic polynomial 'f(x)=x^(2)-px+q' where 'f(x)=0' has prime roots alpha and beta and 'p=alpha+beta' , 'q=alpha beta' .If 'p+q=11' and 'a=p^(2)+q^(2)' then find the value of 'f(a)/100' where a is an odd positive integer.

RESONANCE DPP-JEE MAINS-All Questions
  1. Two non-negative integers are chosen at random, then the probability ...

    Text Solution

    |

  2. Value of [2/((log)4(2000)^6)+3/((log)5(2000)^6)] is 4^(1/3). 5^(1//2) ...

    Text Solution

    |

  3. If p is a constant and f(x) =|(x^2,x^3,x^4),(2,3,6),(p,p^2,p^3)| if ...

    Text Solution

    |

  4. In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/...

    Text Solution

    |

  5. If a , b ,c in Ra n da(a+b)+b(b+c)+c(c+a)=0 then a.a=b=c=0 b. a+...

    Text Solution

    |

  6. In how many ways can 5 colours be selected out of 8 different colours ...

    Text Solution

    |

  7. If R is a relation on the setA={1,2,3,4,5,6,7,8,9} given by x R y y...

    Text Solution

    |

  8. There are two groups of subjects, one of which consists of 5 science ...

    Text Solution

    |

  9. Let A be an mxxn matrix. If there exists a matrix L of type nxxm such ...

    Text Solution

    |

  10. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

    Text Solution

    |

  11. 50th term of the sequence 3+12+25+42+ is 5145 b. 5148 c. 5142 d. 5195

    Text Solution

    |

  12. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

    Text Solution

    |

  13. If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. th...

    Text Solution

    |

  14. The expression (n^3 - n), where 'n' is any odd natural number is divis...

    Text Solution

    |

  15. There are N + 1 identical boxes each containing N wall clocks. r^(th) ...

    Text Solution

    |

  16. If f(theta)=(s intheta+cos e ctheta)^2+(costheta+s e ctheta)^2 then mi...

    Text Solution

    |

  17. Write of the following statements as true and false:- The set of rats...

    Text Solution

    |

  18. If x=7+5sqrt(2)3-1/(7+5sqrt(2)3) , then the value of x^3+3x-14 is equa...

    Text Solution

    |

  19. Triangle O A B is isosceles right triangle right angled at OdotO is...

    Text Solution

    |

  20. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |