Home
Class 10
MATHS
Solve the following questions. (ii) Th...

Solve the following questions.
(ii) The roots of the equation `x^2-3ax+b=0` differ by 4, then show that `9a^2=4b+16`.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Additional problems for Practice : Based on Practice set 2.6|30 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Additional problems for Practice : Based on Practice set 2.5|60 Videos

  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|16 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|14 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation ax^2+bx+c=0 differ by K then b^(2)-4ac=

Solve the following questions. (i) Find the roots of the equation x^2-2x-3=0 by solving graphically.

If (3+i) is a root of the equation x^(2)+ax+b=0 then a is

The roots of the equation x^(2) + ax + b = 0 are "______" .

Solve the following questions (iii) Determine the nature of the roots of the quadratic equation 3x^2+9x+4=0 .

if both root of equation x^(2)-6ax+2-2a+9a^(2)=0 exceeds 3 then show that a>(11)/(9)

If a+b+c=0 then roots of the equation 3ax^(2)+4bx+5c=0 are

Solve the following equation by using factorisation method 4x^2-4ax+(a^2-b^2)=0

TARGET PUBLICATION-QUADRATIC EQUATIONS-Chapter Assessment
  1. If alpha+beta=5 and alpha^(3) +beta^(3)=35, find the quadratic equatio...

    Text Solution

    |

  2. Solve the following questions. (i) Suppose height of a right angled ...

    Text Solution

    |

  3. Solve the following questions. (ii) The roots of the equation x^2-3a...

    Text Solution

    |

  4. Solve the following questions. (i) Find the roots of the equation x^...

    Text Solution

    |

  5. Solve the following questions. (ii) A train travels 360 km with unif...

    Text Solution

    |

  6. Choose the correct alternative. (i) Which of the following is a quad...

    Text Solution

    |

  7. Choose the correct alternative. (ii) If one root of the quadratic eq...

    Text Solution

    |

  8. Choose the correct alternative. (iii) Which of the following quadrat...

    Text Solution

    |

  9. Choose the correct alternative. (iv) For sqrt(3)x^2-2sqrt(2)x-2sqrt(...

    Text Solution

    |

  10. Solve the following question. (i) Find the value of k for which the r...

    Text Solution

    |

  11. Solve the following question. (ii) For the quadratic equation m^2+5m-...

    Text Solution

    |

  12. Complete the following activities. (i) Classify the following polyno...

    Text Solution

    |

  13. Complete the following activities. (ii) fill in the blanks

    Text Solution

    |

  14. Solve the following questions (i) if y=2/3 is one of the roots of th...

    Text Solution

    |

  15. Solve the following questions (ii) Solve the following quadratic equ...

    Text Solution

    |

  16. Solve the following questions (iii) Determine the nature of the root...

    Text Solution

    |

  17. Solve the following questions (iv) From the quadratic equation, if i...

    Text Solution

    |

  18. Solve the following questions. (i) Solve the following qudratic equa...

    Text Solution

    |

  19. Solve the following questions. (ii) Find k, if the sum of the roots ...

    Text Solution

    |

  20. Find m, if the quadratic equation x^2-2(m+1)x+m^2=0

    Text Solution

    |