Home
Class 12
MATHS
If the roots of the cubic equation, x^3+...

If the roots of the cubic equation, `x^3+a x^2+b x+c=0` are three consecutive positive integers, then the value of `(a^2//b+1)` is equal to?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|42 Videos
  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos
  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos
  • SEQUENCE AND SERIES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If the roots of the cubic, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of a^2/(b+1) is equal to __________.

If the roots of the cubic x ^(3) +ax ^(2) + bx +c=0 are three consecutive positive integers, then the value of (a ^(2))/(b +1) =

If the roots of the equation x^2-b x+c=0 are two consecutive integers, then find the value of b^2-4c

If the roots of x^(2)-bx+c=0 be two consecutive integers, then find the value of b^(2)-4c .

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

If the roots of x^2-bx +c=0 are two consecutive integers then b^2-4c=

If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal to opposite sign, then the value of m will be (A) (a-b)/(a+b) (B) (b-a)/(a+b) (C) (a+b)/(a-b) (D) (b+a)/(b-a)

Let a, b be integers such that all the roots of the equation ( x^2 + ax + 20)(x^2 + 17x + b) = 0 are negative integers. What is the smallest possible value of a + b ?

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal then a,b,c will be in

The quadratic x^2+a x+b+1=0 has roots which are positive integers, then (a^2+b^2) can be equal to

VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. If the roots of the cubic equation, x^3+a x^2+b x+c=0 are three consec...

    Text Solution

    |

  2. Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin\ pi/7 * sin\...

    Text Solution

    |

  3. Let a,b,c,d be distinct integers such that the equation (x-a) (x-b) (x...

    Text Solution

    |

  4. Consider the equation (x^2 + x + 1)^2-(m-3)(x^2 + x + 1) +m=0--(1), w...

    Text Solution

    |

  5. The number of positive integral values of m, m le 16 for which the equ...

    Text Solution

    |

  6. If the equation (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then...

    Text Solution

    |

  7. The least rositive integral value of 'x' satisfying (e ^(x) -2) (sin (...

    Text Solution

    |

  8. The integral values of x for which x^2 +17x+71 is perfect square of a ...

    Text Solution

    |

  9. Let P (x)=x ^(6) -x ^(5) -x ^(3) -x ^(2) -x and alpha, beta, gamma, de...

    Text Solution

    |

  10. The number of real values of 'a' for which the largest value of the fu...

    Text Solution

    |

  11. The number of all values of n, (whre pi is a whole number ) for which ...

    Text Solution

    |

  12. The number of negative intergral values of m for which the expression ...

    Text Solution

    |

  13. If the expression ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...

    Text Solution

    |

  14. The smallest value of k for which both roots of the equation x^(2)-8kx...

    Text Solution

    |

  15. If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=

    Text Solution

    |

  16. The sum of all real values of k for which the expression x ^(2)+2xy +k...

    Text Solution

    |

  17. The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...

    Text Solution

    |

  18. Find the number of integral vaues of 'a' for which the range of functi...

    Text Solution

    |

  19. When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...

    Text Solution

    |

  20. Let p(x)=0 be a polynomial equation of the least possible degree, with...

    Text Solution

    |

  21. The range of value's of k for which the equation 2 cos^(4) x - sin^(4...

    Text Solution

    |