Home
Class 10
MATHS
Find the values of alpha and beta for wh...

Find the values of `alpha` and `beta` for which the following system of linear equations has infinite number of solutions: `2x+3y=7,\ \ \ \ 2alphax+(alpha+beta)y=28`

Text Solution

Verified by Experts

The correct Answer is:
`alpha = 4, beta =8`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|11 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( SHORT ANSWER QUESTIONS II)|20 Videos
  • MODEL QUESTION PAPER-6

    VK GLOBAL PUBLICATION|Exercise SECTION-D|7 Videos
  • POLYNOMIALS

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|11 Videos

Similar Questions

Explore conceptually related problems

Find the values of alpha and beta for which the following system of linear equations has infinite number of solutions: 2x+3y=7,quad 2 alpha x+(alpha+beta)y=28

10/Find the value of alpha and beta for which the following system of linear equations has infinite number of solutions 2x+3y=7,2 alpha x+(alpha+beta)y=28

Find the value of p and q for which the following system of linear equations has infinite number of solutions: 2x+3y=1,(p+q)x+(2p-q)y=21 .

Find the values of a and b for which the following system of linear equations has infinite number of solutions: 2x-3y=7,quad (a+b)x-(a+b-3)y=4a+b

Find the values of p and q for which the following system of equations has infinite number of solutions: 2x+3y=7,quad (p+q)x+(2p-q)y=21

Find the values of a and b for which the following system of equations has infinitely many solutions : 2x+3y =7 2ax +ay = 28 - by

Find the value of alpha beta for the quadratic equation 2y^2-7y+2=0

Find the value of k for which the system of equations 2x + 3y=7 and 8x + (k +4)y -28 =0 has infinitely many solution.

Find the value of alpha so that the following linear equations have no solution (3 alpha+1)x+3y-2=0,(alpha^(2)+1)x+(alpha-2)y-5=0

VK GLOBAL PUBLICATION-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES -PROFICIENCY EXERCISE (LONG ANSWER QUESTIONS)
  1. Find the values of alpha and beta for which the following system of...

    Text Solution

    |

  2. Draw the graphs of the equations y =-1, y =3 and y = 4x - 5. Also, fin...

    Text Solution

    |

  3. Solve the following system of linear equation graphically and shade...

    Text Solution

    |

  4. Determine graphically, the vertices of the triangle formed by the line...

    Text Solution

    |

  5. The cost of 4 pens and 4 pencils boxes is Rs. 100. Three times the cos...

    Text Solution

    |

  6. Ankita travels 14km to her home partly by rickshaw and partly by bus. ...

    Text Solution

    |

  7. The sum of a two digit number and the number obtained by reversing the...

    Text Solution

    |

  8. Two years ago, a father was five times as old as his son. Two years ...

    Text Solution

    |

  9. The sum of the numerator and denominator of a fraction is 3 less th...

    Text Solution

    |

  10. A two-digit number is 4 times the sum of its digits and twice the p...

    Text Solution

    |

  11. Susan invested certain amount of money in two schemes A and B, which o...

    Text Solution

    |

  12. A part of monthly hostel charges in a colege are fixed and the remaini...

    Text Solution

    |

  13. Points A and B are 70 km. apart on a highway. A car starts from A a...

    Text Solution

    |

  14. A man travels 600 km partly by train and partly by car. If he covers ...

    Text Solution

    |

  15. 2 women and 5 men can together finish an embroidery work in 4 days, wh...

    Text Solution

    |

  16. Yash scored 35 marks in a test, getting 2 marks for each right answer...

    Text Solution

    |

  17. The students of a class are made to stand in rows. If 3 students are ...

    Text Solution

    |

  18. The car hire charges in a city comprise of a fixed charges together...

    Text Solution

    |

  19. A person can row a boat at the rate of 5 km/hour in still water. He ...

    Text Solution

    |

  20. Solve graphically the system of linear equations 4x-3y+4 =0,4x +3y= 2...

    Text Solution

    |