Home
Class 12
MATHS
If the roots of the equation 6x^2-7x + k...

If the roots of the equation` 6x^2-7x + k=0` are rational then value of k can be

A

-1

B

`-1,-2`

C

`-2`

D

`1,2`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If the roots of the equation6x^(2)-7x+k=0 are rational then value of k can be

If 3 is the root of the equation x^(2)= 8x+ k= 0 then what is the value of k?

The product of the roots of the equation x^(2) - 8x + k = 0 is 12. Find the value of k.

If the roots of equation 5x-7x+k=0 are reciprocal to each other,then value of k is

One of the roots of the equation x^(2)-12x+k=0 is x=3 . The value of k is :

If one root of the quadratic equation x^(2)-7x+k=0 is 2, find the value of k.

If one root of the equation 2x^2+2x+k=0 is (-1/3) then find teh value of k

If the roots of the quadratic equation 2x^(2)+8x+k=0 are equal, find the value of k .

If x=-2 is one of the roots of the quadratic equation x^(2)+x-2k=0, then find the value of k.

MOTION-QUADRATIC EQUATION-EXERCISE -2 (OBJECTIVE PROBLEMS)
  1. If one root of the equation x^2+ px+ 12=0 is 4, while the equation x^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  15. If both the roots of the quadratic equation x^2-2kx+k^2+k-5=0 are less...

    Text Solution

    |

  16. Let a,b,c be real if ax^(2)+bx+c=0 has two real roots alpha and beta w...

    Text Solution

    |

  17. If both roots of the quadratic equation x^(2)+x+p=0 exceed p where p e...

    Text Solution

    |

  18. for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval

    Text Solution

    |

  19. If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 i...

    Text Solution

    |

  20. If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

    Text Solution

    |