Home
Class 12
MATHS
If alpha, beta are the roots of 4 x^(2)-...

If `alpha, beta` are the roots of `4 x^(2)-16 x+c=0`, c >0 such that 1

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos
  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta be the roots of 4x^(2) - 16x + c = 0, c in R such that 1 lt alpha lt 2 and 2 lt beta lt 3 , then the number of integral values of c is

If alpha, beta are the roots of ax^(2) - 26x + c = 0 , then alpha^(3) beta^(3) + alpha^(2) beta^(3) + alpha^(3) beta^(2) equals :

If alpha, beta are the roots of x^(2)-3x+1=0 , then the equation whose roots are (1/(alpha-2),1/(beta-2)) is

If alpha , beta are the roots of 2 x^(2)-x+7=0 then the equation whose roots are 2-3 alpha and 2-3 beta is

If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roots are (alpha+beta)^(-1) , alpha^(-1)+ beta^(-1) is

If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roots are alpha+(1)/(beta) and beta+(1)/(alpha) is

If alpha, beta are the rots of a x^(2)+b x+c=0 and alpha+h, beta+h are the roots of p x^(2)+q x+r=0 then h=

If alpha, beta are the roots of the equation x^(2)-px+q=0 , prove that log_(e)(1+px+qx^(2))=(alpha+beta)x-(alpha^(2)+beta^(2))/(2)x^(2)+(alpha^(3)+beta^(3))/(3)x^(3)-...

The value of ' c ' for which |alpha^(2)-beta^(2)|=(7)/(4) where alpha and beta are the roots of 2 x^(2)+7 x+c=0 is

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If one root of x^(2)-x+3 a=0 is double the root of x^(2)-x+a=0 then no...

    Text Solution

    |

  2. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  3. If alpha, beta are the roots of 4 x^(2)-16 x+c=0, c >0 such that 1<alp...

    Text Solution

    |

  4. If a, b, c are real, c ge 0 and a x^(2)+b x+c=0 has no real roots, the...

    Text Solution

    |

  5. The value of p for which the sum of the squares of the roots of 2 x^(2...

    Text Solution

    |

  6. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...

    Text Solution

    |

  7. If the roots of the equation x^(2)-b x+c=0 be two eanseeutive integers...

    Text Solution

    |

  8. If one root of (a^(2)-5 a+3) x^(2)+(3 a-1) x+2=0 is twice the other th...

    Text Solution

    |

  9. The equation (cos beta-1) x^(2)+(cos beta) x+sin beta=0 in the variabl...

    Text Solution

    |

  10. Let alpha, beta the roots of the equation (x - a) (x - b) = c , c ne...

    Text Solution

    |

  11. If a le b le c le d then the equation (x-a)(x-c)+2(x-b)(x-d)=0 has

    Text Solution

    |

  12. Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...

    Text Solution

    |

  13. If one root of the equation (a-b) x^(2)+a x+1=0 is double the other an...

    Text Solution

    |

  14. If alpha,beta be the roots of x^(2)+x+2=0 and gamma, delta be the root...

    Text Solution

    |

  15. The expression a (x^(2)-y^(2))-b x y admits two linear factors for

    Text Solution

    |

  16. If one root of x^(2)-x-k=0 is square of the other, then k=

    Text Solution

    |

  17. The value of p for which the difference between the roots of the equat...

    Text Solution

    |

  18. If one root of the equation ax^(2) + bx + c =0 is reciprocal of the o...

    Text Solution

    |

  19. If one root of the equation 5 x^(2)+13 x+k=0 is reciprocal of other, t...

    Text Solution

    |

  20. Let f(x)=a x^(2)+b x+c, a, b, in R, a neq 0 satisfying f(1)+f(2)=0 . T...

    Text Solution

    |