Home
Class 14
MATHS
Find the value of k such that the sum of...

Find the value of k such that the sum of the squares of the roots of the quadratic equation `x^(2)-8x+k=0` is 40:

A

12

B

2

C

5

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|57 Videos
  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|20 Videos
  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|20 Videos
  • SQUARE ROOT AND CUBE ROOT

    ARIHANT SSC|Exercise EXERCISE (C ) HIGHER SKILL LEVEL QUESTIONS|14 Videos
  • TIME AND WORK

    ARIHANT SSC|Exercise Final Round|15 Videos

Similar Questions

Explore conceptually related problems

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then

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

Find k if the sum of the roots of the quadratic equation 4x^(2)+8kx+k+9=0 is equal to their product.

Find the value of k so that the sum of the roots of the quadratic equation is equal to the product to the roots : (k+1)x^(2)+2kx+4=0

Find the value of k, for which one root of the quadratic equation kx^(2)--14x+8=0 is 2.

If x=4 is one of the roots of the quadratic equation 3x^(2)+kx-2=0 , find the value of k.

If one root of the quadratic equation 3x^(2) +px+4=0 is 2/3 , then find the value of p and the other root of the equation. OR The roots alpha and beta of the quadratic equation x^(2) -5x+3(k-1)=0 are such that alphabeta =1. Find the value k.

If the sum of roots of the quadratic equation, x^(2)-(p+4)x+5=0 is 0,find the value of P

ARIHANT SSC-THEORY OF EQUATIONS-INTRODUCTORY EXERCISE - 14.1
  1. Find the value of k so that the sum of the roots of the quadratic equa...

    Text Solution

    |

  2. If -4 is a root of the quadratic equation x^(2)-px-4=0 and the quadrat...

    Text Solution

    |

  3. Find the value of k such that the sum of the squares of the roots of t...

    Text Solution

    |

  4. Find the value of p for which the quadratic equation x^(2)+p(4x+p-1)+2...

    Text Solution

    |

  5. If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the...

    Text Solution

    |

  6. If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the...

    Text Solution

    |

  7. Find the quadratic equation whose roots are sqrt3 and 2sqrt3 :

    Text Solution

    |

  8. If alpha and beta are the roots of equation 6x^(2)+x-2=0, find the val...

    Text Solution

    |

  9. If a and c are such that the quadratic equation ax^(2)-5x+c=0 has 10 a...

    Text Solution

    |

  10. If alpha and beta are the roots of the equation x^(2)-x-4=0, find the ...

    Text Solution

    |

  11. If alpha and beta are the roots of the equation x^(2)-2x-1=0. Find the...

    Text Solution

    |

  12. If alpha and beta are the roots of x^(2)-x-2=0, find the quadratic equ...

    Text Solution

    |

  13. If alpha, beta be the roots of the quadratic equation 3x^(2)-6x+4=0, f...

    Text Solution

    |

  14. If alpha, beta be the roots of the quadratic equation x^(2)-5x+k=0, fi...

    Text Solution

    |

  15. If one root of the quadratic equation ax^(2)+bx+c=0 is double the othe...

    Text Solution

    |

  16. The length of a hypotenuse of a right triangle exceeds the length of i...

    Text Solution

    |

  17. A two digit number is such that the product of its digits is 12. When ...

    Text Solution

    |

  18. A plane left 40 minutes late due to bad weather and in order to reach ...

    Text Solution

    |

  19. The sum of the squares of two consecutive positive odd numbers is 290....

    Text Solution

    |

  20. A shop keeper buys a number of books for Rs.80. If he had bought 4 mor...

    Text Solution

    |