Home
Class 10
MATHS
A quadratic equation whose one root i...

A quadratic equation whose one root is 2 and the sum of whose roots is zero, is `x^2+4=0` (b) `x^2-4=0` (c) `4x^2-1=0` (d) `x^2-2=0`

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

The quadratic equation whose roots are square of equation x^(2)-4x+3=0

The quadratic equation whose roots are twice the roots of x^2-3x+3=0 is _____ .

Find the quadratic equation whose roots are 2 times the roots of x^(2) - 12x - 13 = 0 .

The cubic equation whose roots are thrice to each of the roots of x^(3)+2x^(2)-4x+1=0 is

Find the quadratic equation whose roots are reciprocals of the roots of the equation 7x^(2) - 2x +9 = 0 .

The equation whose roots are the reciprocal of the roots of x^(4)+3x^(3)+6x^(2)+2x+4=0 is

Find the equation whose roots are 2 times the roots of x^(5)+2x^(2)-4x+1=0

The equation whose roots are reciprocals of the roots of the equation x^(3)-2x^(2)+6x+4=0

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

  7. 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

    |

  8. The value of c for which the equation a x^2+2b x+c=0 has equal ...

    Text Solution

    |

  9. If x^2+k(4x+k-1)+2=0 has equal roots, then k= (a) -2/3,\ 1 (b)...

    Text Solution

    |

  10. If the sum and product of the roots of the equation k x^2+6x+4k=0 a...

    Text Solution

    |

  11. If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=...

    Text Solution

    |

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

    Text Solution

    |

  13. If the sum of the roots of the equation x^2-(k+6)x+2(2k-1)=0 is equ...

    Text Solution

    |

  14. If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1...

    Text Solution

    |

  15. A quadratic equation whose one root is 2 and the sum of whose roots...

    Text Solution

    |

  16. If one root of the equation a x^2+b x+c=0 is three times the oth...

    Text Solution

    |

  17. If one root of the equation 2x^2+k x-6=0 is 2, then the other root...

    Text Solution

    |

  18. If one root of the equation x^2+a x+3=0 is 1, then the other roo...

    Text Solution

    |

  19. If 1 is a common root of the equations ay^2+ay+3=0 and y^2+y+b=0,then ...

    Text Solution

    |

  20. The values of k for which the quadratic equation 16 x^2+4k x+9=0...

    Text Solution

    |