Home
Class 12
MATHS
The equation formed by multiplying each ...

The equation formed by multiplying each root of `ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0`
If the sum of the roots of a quadratic equation is 3 and the product is 2, then the equationis

A

`2x^(2) - x+ = 0`

B

`x^(2) - 3 x + 2 =0`

C

`x^(2)+3x+2 = 0`

D

`x^(2)-3x - 2 =0`

Text Solution

Verified by Experts

The correct Answer is:
B
Quadratic equation can be given as
`x^(2) = " (sum of roots)x + (product of roots) "= 0 `
Hence, Required quadratic equation is
` x^(2) - 3x + 2 = 0 `
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

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 (x+1)^(2)-1=0 has

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 What is b:c equal to ?

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of a quadratic equation are m+n and m-n , then the quadratic equaiton will be :

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 Which one of the following is correct ?

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of a quadratic equation ax^(2)+ bx+ c=0 " are "alpha and beta, then the quadratic equation having roots alpha and beta is

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 What is the positive square root of 7+ 4 sqrt (3) ?

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If 4^(x)-6.2^(x)8=0 , then the values of x arre

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of the quadratic equation 3x^(2) - 5x + p =0 and unequal , then which one of the following is correct ?

NDA PREVIOUS YEARS-POLYNOMIAL,QUADRATIC EQUATION & INEQUALITIES-Math
  1. The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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. How many real roots does the quadratic equation f(x) = x^(2) + 3 |x|+2...

    Text Solution

    |

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

    Text Solution

    |

  12. The roots of the equation x^2-8x+16=0

    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. If alpha and beta are the roots of the equation ax^2+bx+c=0 where alph...

    Text Solution

    |

  17. The roots of the equation 2a^(2)x^(2) - 2abx + b^(2) = 0 when a lt0 a...

    Text Solution

    |

  18. Every quadratic equation ax^(2) + bx + c = 0 ," where "a, b, c in R ...

    Text Solution

    |

  19. If alpha , beta are the roots of ax^(2) + bx+ c = 0" and a+h, beta+h a...

    Text Solution

    |

  20. Consider the following statements in respect of the given equation (x^...

    Text Solution

    |