Home
Class 10
MATHS
Find quadratic equation such that its ro...

Find quadratic equation such that its roots are square sum of the roots and square of difference of the roots of equation `2x^2+2(p+q)x+p^2+q^2=0`

Promotional Banner

Topper's Solved these Questions

  • Quadratic Equations

    CHETANA PUBLICATION|Exercise EXERCISE|98 Videos
  • PYTHAGORAS THEOREM

    CHETANA PUBLICATION|Exercise EXERCISE|39 Videos
  • QUADRILATERALS

    CHETANA PUBLICATION|Exercise EXAMPLE|20 Videos

Similar Questions

Explore conceptually related problems

Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation 2x^(2)+2(p+q)x+p^(2)+q^(2)=0

Form the quadratic equation if its roots are 1/2 and -3/4

The roots of the equation x^2+x+1 = 0 are

Form the quadratic equation, if the roots are -2 and -3.

Form the quadratic equation, if the roots are 1/2 and -4

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

Form the quadratic equation, if the roots are 2/3 and 3/2

Write the quadratic equation if the roots are: 1/2 and -1/2

Form the quadratic equation, if its roots are (vii) 4 and 2/3

Write the quadratic equation if the roots are: 2-sqrt 5 and 2+ sqrt 5

CHETANA PUBLICATION-Quadratic Equations-EXERCISE
  1. Find quadratic equation such that its roots are square sum of the root...

    Text Solution

    |

  2. Which one of the following is a quadratic equation? a)5/x-3=x^2 b)x(x+...

    Text Solution

    |

  3. Out of the following equations, which one is not a quadratic equation?...

    Text Solution

    |

  4. The roots of x^2+kx+k=0 are real and equal. Find K. a)0 b)4 c)0 or 4 d...

    Text Solution

    |

  5. For quadratic equation sqrt 2x^2-5x+sqrt2=0, find the value of the di...

    Text Solution

    |

  6. Which of the following quadratic equations has roots 3, 5? a)x^2-15x+3...

    Text Solution

    |

  7. Out of the following equations, find the equation having the sum of i...

    Text Solution

    |

  8. sqrt 5m^2-sqrt 5m+sqrt 5=0, Which of the following statement is true f...

    Text Solution

    |

  9. One of the roots of equation x^2+mx-5=0 is 2. Find m. a)-2 b)-1/2 c)1/...

    Text Solution

    |

  10. alpha, beta are roots of quadratic equation ax^2+bx+c=0. Then (alpha+b...

    Text Solution

    |

  11. The roots of the quadratic equation y^2-16y+63=0 are a)-9,-7 b)-9,7 c)...

    Text Solution

    |

  12. If the roots of a quadratic equation are real and equal, then Delta mu...

    Text Solution

    |

  13. If one root of quadratic equation kx^2-7x+12=0 is 3, then value of k i...

    Text Solution

    |

  14. If one root of quadratic equation is 1-sqrt3 then the other root is………...

    Text Solution

    |

  15. If the roots of ax^2+bx+c=0 are real and equal then.......a)b^2-4aclt0...

    Text Solution

    |

  16. The value of discriminant of the equation x^2+x+1=0 is…………..a)-4 b)-3 ...

    Text Solution

    |

  17. alpha, beta are roots of quadratic equation such that alpha+beta=-4 a...

    Text Solution

    |

  18. The standard form of quadratic equation x-5/x=3x-7 is……….a)2x^2-8x+7=0...

    Text Solution

    |

  19. What is the nature of roots of quadratic equation: 9x^2-12x+4=0? a)Rea...

    Text Solution

    |

  20. Three times the square of natural number is 363 is written in the math...

    Text Solution

    |

  21. Which of the following is not a quadratic equation? a)-5/3x^2=2x+9 b)(...

    Text Solution

    |