Home
Class 12
MATHS
For what values of a is the difference b...

For what values of a is the difference between the roots of the equation `(a-2)x^2-(a-4)x-2=0` is equal to 3

A

`3,3//2`

B

`3,1`

C

`1,3//2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -3 (SUBJECTIVE)|36 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -1 (OBJECTIVE PROBLEMS)|30 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

For what value of a is the difference between the roots of the equation (a-2)x^(2)-(a-4)x-2=0 equal to 3?

For what values of a is the difference between the roots of the equation 2x^(2)-(a+1)x+(a-1)=0 equal to their product

The difference between the roots of the equation x^2-6x- 16 = 0 is:

The value of p for which the difference between the roots of the equation x^(2) + px + 8 = 0 is 2, are

If the difference between the roots of the equation x^(2)+ax+8=0 is 2, write the values of a .

All possible values of a,so that 6 lies between the roots of the equation x^(2)+2(a-3)x+9=0

What are the roots of the equation x^(2)+sqrt(2)x-4=0.

for what values of a is the ratio of the roots of equation ax^(2)-(a+3)x+3=0 equal to 1.5.

MOTION-QUADRATIC EQUATION-EXERCISE -2 (OBJECTIVE PROBLEMS)
  1. If product of roots of the equation mx^(2)+6x+(2m-1)=0 is -1 then m eq...

    Text Solution

    |

  2. For what value of a,the sum of roots of the equation x+2(2-a-a^2)x-a^2...

    Text Solution

    |

  3. For what values of a is the difference between the roots of the equati...

    Text Solution

    |

  4. If alpha,beta are the roots of the equation 2x^2-35+2=0 , the find the...

    Text Solution

    |

  5. Let alpha,beta,gamma be the roots of (x-a) (x-b) (x-c) = d, d != 0, th...

    Text Solution

    |

  6. The value of k for which the equation 3x^(2) + 2x (k^(2) + 1) + k^(2) ...

    Text Solution

    |

  7. Consider the equation x^(2) + 2x - n = 0m where n in N and n in [5, 10...

    Text Solution

    |

  8. If one root of the equation x^2+ px+ 12=0 is 4, while the equation x^...

    Text Solution

    |

  9. If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then ...

    Text Solution

    |

  10. Roots of the equation (a+b-c)x^(2)-2ax+(a-b+c)=0, (a,b, c, epsilonQ) a...

    Text Solution

    |

  11. If the roots of the equation 6x^2-7x + k=0 are rational then value of ...

    Text Solution

    |

  12. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

    Text Solution

    |

  13. If a ,b ,p ,q are nonzero real numbers, then how many oon roots would ...

    Text Solution

    |

  14. If one of the factors of ax^(2)+bx+c and bx^(2)+cx+a is common then

    Text Solution

    |

  15. If two roots of the equation x^3-px^2+qx-r=0 are equal in magnitude bu...

    Text Solution

    |

  16. If condition for a^(2)x^(4)+bx^(3)+cx^(2)+dx+f^(2) may be perfect squa...

    Text Solution

    |

  17. If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the leas...

    Text Solution

    |

  18. If y =-2x^2-6x + 9, then (A) maximum value of y is -11 and it occur...

    Text Solution

    |

  19. Consider y=(2x)/(1+x^2), where x is real , then the range of expressi...

    Text Solution

    |

  20. The diagram shows the grap of y=ax^(2)+bx+c. Then

    Text Solution

    |