Home
Class 10
MATHS
If the product of the roots of the equat...

If the product of the roots of the equation `x^(2)-3x+k=10` is -2 then the value of k is

A

-2

B

-8

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
C

Given equation is `x^(2)-3x+(k-10)=0.`
Product of roots `=(k-10)." So, "k-10=-2impliesk=8.`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Exercise 4E|71 Videos
  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos
  • REAL NUMBERS

    RS AGGARWAL|Exercise Test Youself|20 Videos

Similar Questions

Explore conceptually related problems

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

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

If the product of the roots of the equation x^(2)-3kx+2e^(2ln k)-1=0 is 7 then the roots of the equation are real for k equal to

If the product of the roots of the equation x^(2) - 5x+ k = 15 " is " -3 , then what is the value of k?

If the product of the roots of the equation x^(2)-3kx+2e^(2log k)-1=0 is 17 then k=

if k>0 and the product of the roots of the equation x^(2)-3kx+2e^(2log k)-1=0 is 7 then the sum of the roots is:

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

If one of the roots of the equation 2x^(2)-6x+k=0 is ((alpha+5i)/(2)), then the values of a and k are

RS AGGARWAL-QUADRATIC EQUATIONS -Test Yourself
  1. If one root of the equation 2x^(2)+ax+6=0 is 2 then a=?

    Text Solution

    |

  2. The sum of the roots of the equation x^(2)-6x+2=0 is

    Text Solution

    |

  3. If the product of the roots of the equation x^(2)-3x+k=10 is -2 then t...

    Text Solution

    |

  4. The ratio of the sum and product of the roots of the equation 7x^(2)-1...

    Text Solution

    |

  5. If one root of the equation 3x^(2)-10x+3=0" is "(1)/(3) then the other...

    Text Solution

    |

  6. If one root of 5x^(2)+13x+k=0 be the reciprocal of the other root then...

    Text Solution

    |

  7. If the sum of the roots of the equation kx^(2)+2x+3k=0 is equal to the...

    Text Solution

    |

  8. The roots of a quadratic equation are 5 and -2. Then, the equation is

    Text Solution

    |

  9. If the sum of the roots of aquadratic equation is 6 and their product...

    Text Solution

    |

  10. If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1...

    Text Solution

    |

  11. The roots of the equation ax^(2)+bx+c=0 will be reciprocal of each oth...

    Text Solution

    |

  12. If the roots of the equation ax^(2)+bx+c=0 are equal then c=?

    Text Solution

    |

  13. If the equation 9x^(2)+6kx+4=0 has equal roots then k=?

    Text Solution

    |

  14. If the equation x^(2)+2(k+2)x+9k=0 has equal roots then k= ?

    Text Solution

    |

  15. If the equation 4x^(2)-3kx+1=0 has equal roots then k=?

    Text Solution

    |

  16. The roots of ax^(2)+bx+c=0, ane0 are real and unequal, if (b^(2)-4ac)

    Text Solution

    |

  17. In the equation ax^(2)+bx+c=0, it is given that D=(b^(2)-4ac)gt0. Then...

    Text Solution

    |

  18. The roots of the equation 2x^(2)-6x+7=0 are

    Text Solution

    |

  19. The roots of the equation 2x^(2)-6x+3=0 are

    Text Solution

    |

  20. If the roots of 5x^(2)-kx+1=0 are real and distinct then

    Text Solution

    |