Home
Class 10
MATHS
If the sum of the zeros of the quadratic...

If the sum of the zeros of the quadratic polynomial `f(t)=k t^2+2t+3k` is equal to their product, find the value of `kdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos
  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos

Similar Questions

Explore conceptually related problems

If one zero of the quadratic polynomial f(x)=4x^2-8k x-9 is negative of the other, find the value of k .

If the sum of the zeros of the quadratic polynomial f(x)=k x^2-3x+5 is 1, write the value of k .

If the squared difference of the zeros of the quadratic polynomial f(x)=x^2+p x+45 is equal to 144, find the value of p .

If the product of zeros of the quadratic polynomial f(x)=x^2-4x+k is 3, find the value of k .

If alpha and beta are the zeros of the quadratic polynomial f(x)=k x^2+4x+4 such that alpha^2+beta^2=24 , find the value of kdot

If the sum of zeroes of the polynomial 3x^(2)-2kx+5 is 4, then find the value of k.

If the sum of the zeros of the polynomial f(x)=2x^3-3k x^2+4x-5 is 6 , then the value of k is (a) 2 (b) 4 (c) -2 (d) -4

If alpha and beta are the zeros of the quadratic polynomial f(t)=t^2-4t+3 , find the value of alpha^4beta^3+alpha^3beta^4 .

If alpha and beta ar the zeros of the polynomial f(x)=x^2-5x+k such that alpha-beta=1, find the value of kdot

If the sum of the roots of kx^(2) + 2x + 3k = 0 is equal to their product, then k =

RD SHARMA ENGLISH-POLYNOMIAL-All Questions
  1. If alpha and beta are the zeros of the polynomial f(x)=x^2+p x+q , f...

    Text Solution

    |

  2. Draw the graph of the polynomial f(x)=-4x^2+4x-1. Also find the vertex...

    Text Solution

    |

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

    Text Solution

    |

  4. Draw the graph of the polynomial f(x)=-3x^2+2x-1.

    Text Solution

    |

  5. Find the zeros of the quadratic polynomial x^2+7x+12 , and verify the ...

    Text Solution

    |

  6. Find the zeros of polynomial f(x) = 4sqrt3 x^2 + 5x - 2sqrt 3; and ver...

    Text Solution

    |

  7. If alphaa n dbeta are the zeros of the quadratic polynomial f(x)=x^2-p...

    Text Solution

    |

  8. Obtain all the zeros of the polynomial f(x)=3x^4+6x^3−2x^2−10x−5, if ...

    Text Solution

    |

  9. What must be subtracted from 8x^4+14 x^3-2x^2+7x-8 so that the resulti...

    Text Solution

    |

  10. By applying division algorithm prove that the polynomial g(x)=x^2+3x+1...

    Text Solution

    |

  11. Find the condition that the zeroes of the polynomial f(x) = x^3 – px^2...

    Text Solution

    |

  12. Find the zeros of the polynomial f(x)=x^3-5x^2-2x+24 , if it is given ...

    Text Solution

    |

  13. Draw the graph of the polynomial f(x)=x^2-6x+9.

    Text Solution

    |

  14. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-2...

    Text Solution

    |

  15. Draw the graph of the polynomial f(x)=x^3-4x .

    Text Solution

    |

  16. Draw the graph of the cubic polynomial f(x)=x^3-2x^2 .

    Text Solution

    |

  17. Draw the graph of the polynomial f(x)=x^3 .

    Text Solution

    |

  18. If each one of the following graphs is the graph of a polynomial, then...

    Text Solution

    |

  19. The graphs of y=a x^2+b x+c are given in Fig. Identify the signs of ...

    Text Solution

    |

  20. Find the zeros of the quadratic polynomial f(x)=6x^2-3 , and verify th...

    Text Solution

    |