Home
Class 12
MATHS
If the roots of the equation 3x^(2) - 5x...

If the roots of the equation `3x^(2) - 5x + q=0` are equal , then what is the value of q ?

A

2

B

`5//12`

C

`12//25`

D

`25//12`

Text Solution

Verified by Experts

The correct Answer is:
D
Given quadratic equation is
` 3x^(2) - 5 x + q = 0 `
Since, roots of this equation are equal therefore
`b^(2)-4ac = 0`
`rArr (-5) ^(2) - 4 (3) (q) = 0`
`rArr 25- 12q = 0`
`rArr q=25/12`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    NDA PREVIOUS YEARS|Exercise MCQ|74 Videos

  • PROBABILITY AND PROBABILIYT DISTRIBUTION

    NDA PREVIOUS YEARS|Exercise Multiple Choice Question|213 Videos

Similar Questions

Explore conceptually related problems

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

If p and q are the root of the equation x^(2) - px + q = 0 , then what are the vlaues of p and q respectively ?

If the roots of the equation 2x^(2)+7x+4=0 are in the ratio p:q, then the value of sqrt((p)/(q))+sqrt((q)/(p))

If the sum as well as the product of the roots of the equation px^2-6x + q=0 is 6, then what is (p + q) equal to?

If the roots of the equation x^2 + px-q = 0 are tan 30^@and tan 15^@ then the value of 2-q-p is

NDA PREVIOUS YEARS-POLYNOMIAL,QUADRATIC EQUATION & INEQUALITIES-Math
  1. If one of the roots of the equation (b-c)x^(2) + b(c-a)x + c( a-b) = 0...

    Text Solution

    |

  2. What are the roots of the equation 2(y+2)^(2) - 5 (y+2) = 12 ?

    Text Solution

    |

  3. If the roots of the equation 3x^(2) - 5x + q=0 are equal , then what i...

    Text Solution

    |

  4. If the difference between the roots of ax^(2) + bx + c = 0 is 1, the...

    Text Solution

    |

  5. If one of the roots of the equation x^(2) + ax - 6 = 0 is 1, then wha...

    Text Solution

    |

  6. If alpha and beta are the roots of the equation x^(2) - q(1+x) - r =0 ...

    Text Solution

    |

  7. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  8. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  9. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  10. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  11. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  12. If alpha,beta are the roots of x^(2) + px - q =0 and lambda, delta x^...

    Text Solution

    |

  13. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  14. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  15. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  16. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  17. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  18. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  19. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

  20. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |