Home
Class 10
MATHS
Write a quadratic polynomial, sum of who...

Write a quadratic polynomial, sum of whose zeros is `2sqrt(3)` and their product is 2.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos

  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

Find a quadratic polymomial,the sum of whose zeroes is sqrt(2) and their product is 1/3

Find the quadratic polynomial, the sum of whose zeros is sqrt2 and their product is -12 . Hence, find the zeros of the polynomial.

Find the quadratic polynomial, the sum of whose roots is sqrt2 and their product is 1/3.

Write a quadratic polynomial, sum of whose zeroes is 2 and product is -8

Find the quadratic polynomial, the sum of whose zeros is (5/2) and their product is 1 . Hence, find the zeros of the polynomial.

Write a quadratic polynomial, whose zeros are 2 and 4.

Write a quadratic polynomial sum of whose zeros is 3 and product is -6.

Find the quadratic polynomial, sum of whose zeros is 8 and their product is 12 . Hence, find the zeros of the polynomial.

Find a quadratic polynomial, the sum of whose zeroes is (5)/(3) and product is 2.

Find the quadratic polynomial, the sum of whose zeros is 0 and their product is -1. Hence, find the zeros of the polynomial.

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Find the condition if the roots of a x^2+2b x+c=0a n db x^2-2sqrt(a c ...

    Text Solution

    |

  2. Write the set of values of k for which the quadratic equation ha...

    Text Solution

    |

  3. Write a quadratic polynomial, sum of whose zeros is 2sqrt(3) and th...

    Text Solution

    |

  4. Show that x=-3 is solution of x^2+6x+9=0

    Text Solution

    |

  5. Show that x=-2 is a solution of 3x^2+13 x+14=0

    Text Solution

    |

  6. Find the discriminant of the quadratic equation 3sqrt3x^2+10x+sqrt3=0.

    Text Solution

    |

  7. If x=(-1)/2 , is a solution of the quadratic equation 3x^2+2k x-3=0...

    Text Solution

    |

  8. If the equation x^2+4x+k=0 has real and distinct roots, then k<4...

    Text Solution

    |

  9. If the equation 9x^2+6k x+4=0 has equal roots, then the roots ar...

    Text Solution

    |

  10. If the equation a x^2+2x+a=0 has two distinct roots, if a=+-1 (b...

    Text Solution

    |

  11. If 2 is a root of the equation x^2+b x+12=0 and the equation x^2...

    Text Solution

    |

  12. If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are ...

    Text Solution

    |

  13. If the equation x^2-b x+1=0 does not possess real roots, then -3...

    Text Solution

    |

  14. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=...

    Text Solution

    |

  15. If p and q are the roots of the equation x^2-p x+q=0 , then p=1,\ q...

    Text Solution

    |

  16. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of th...

    Text Solution

    |

  17. Write the number of quadratic equation with real roots, which do no...

    Text Solution

    |

  18. If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, t...

    Text Solution

    |

  19. If the sum of the roots of the equation x^2-x=lambda(2x-1) is zero,...

    Text Solution

    |

  20. If x=1 is a common root of a x^2+a x+2=0 and x^2+x+b=0 then, a b= ...

    Text Solution

    |