Home
Class 10
MATHS
The value of k such that the quadratic p...

The value of k such that the quadratic polynomial `x^(2)-(k+6)x+2(2k+1)` has sum of the zeroes as half of their product, is

A

2

B

3

C

`-5`

D

5

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Multiple Choice Questions) LEVEL-2|15 Videos

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (Match the Following )|2 Videos

  • POLYNOMIALS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 2.4)|6 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 3.7)|18 Videos

  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos

Similar Questions

Explore conceptually related problems

Find the value of k such that the equation x^(2)-(k+6)x+2(2k-1)=0 has sum of the roots equal to half of their product :

What is the value of k in the quadratic polynomial kx^2 + 4x + 3k , if the sum of the zeroes is equal to their product ?

What is the value of k in the quadratic polynomial kx^(2) + 4x + 3k , if the sum of the zeroes is equal to their product?

The zeroes of the quadratic polynomial x^(2)+kx+k, k≠0

Find the sum of the zeroes of the quadratic polynomial x^(2)-5x+6

Find the value of 'k' so that the zeros of the quadratic polynomial 3x^(2)-kx+14 are in the ratio 7:6

What is the value of k in the quadratic polynomial 3x^(2)+2kx-3 . if x-(1)/(2) , one of its zero?

Find the sum of the zeroes of quadratic polynomial x^2 +3x- 6.

The zeroes of the quadratic polynomial x^(2) +kx +k where k ne 0 ,

MTG IIT JEE FOUNDATION-POLYNOMIALS-EXERCISE (Multiple Choice Questions) LEVEL-1
  1. If alpha, beta, gamma are the zeros of the polynomial 2x^(3)+ x^(2) ...

    Text Solution

    |

  2. If alpha, beta, gamma be the zeros of the polynomial p(x) such that (...

    Text Solution

    |

  3. The value of k such that the quadratic polynomial x^(2)-(k+6)x+2(2k+1)...

    Text Solution

    |

  4. If alpha and beta are the zeros of the quadratic polynomial f(t)=t^...

    Text Solution

    |

  5. If the polynomials 2x^3+a x^2+3x-5 and x^3+x^2-4x+a leave the same rem...

    Text Solution

    |

  6. One of the factors of (a^(2)-b^(2))(c^(2)-d^(2))-4abcd is

    Text Solution

    |

  7. If one zero of the polynomial f(x)=(k^(2)+4)x^(2)+16x+4k is reciprocal...

    Text Solution

    |

  8. If alpha,\ beta are the zeros of the polynomial f(x)=x^2-p(x+1)-c such...

    Text Solution

    |

  9. If the sum of squares of zeros of the polynomial x^(2)-8x+k is 40, fin...

    Text Solution

    |

  10. The graph of y=x^(3)-4x cuts x-axis at (-2,0), (0,0) and (2,0). The ze...

    Text Solution

    |

  11. The graph of the polynomial p(x) cuts the x-axis at 2 places and touch...

    Text Solution

    |

  12. If the sum of the zeros of the quadratic polynomial f(t)=k t^2+2t+3k i...

    Text Solution

    |

  13. The zeroes of the quadratic polynomial 100x^(2)+50x+99 are

    Text Solution

    |

  14. If alpha, beta, gamma are the zeroes of the polynomial f(x) = 2x^3 + 6...

    Text Solution

    |

  15. If alphaa n dbeta ar the zeros of the polynomial f(x)=x^2-5x+k such th...

    Text Solution

    |

  16. If the polynomial 6x^4+8x^3+17 x^2+21 x+7 is divided by another polyno...

    Text Solution

    |

  17. If alpha,beta be the zeroes of the quadratic polynomial f(x)=x^(2)+px+...

    Text Solution

    |

  18. If alpha,beta,gamma are the zeroes of the polynomial f(x)=x^(3)-5x^(2)...

    Text Solution

    |

  19. The graph of y = p(x) is given below. Find the number of zeroes of p(x...

    Text Solution

    |

  20. If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1, then find the value of a ...

    Text Solution

    |