Home
Class 10
MATHS
If the system of equations 2x+3y=7,\ \...

If the system of equations `2x+3y=7,\ \ \ 2a x+(a+b)y=28` has infinitely many solutions, then (a)`a=2b` (b) `b=2a` (c) `a+2b=0` (d) `2a+b=0`

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • POLYNOMIAL

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

If the system of equations 2x+3y=7,\ \ \ \ (a+b)x+(2a-b)y=21 has infinitely many solutions, then

If the system of equations 2x+3y=5,\ \ \ \ 4x+k y=10 has infinitely many solutions, then k= (a) 1 (b) (c) 3 (d) 6

The value of k for which the system of equations 2x+3y=5,\ \ \ \ 4x+k y=10 has infinite number of solutions, is (a) 1 (b) 3 (c) 6 (d) 0

If the system of equations ax + by + c = 0,bx + cy +a = 0, cx + ay + b = 0 has infinitely many solutions then the system of equations (b + c) x +(c + a)y + (a + b) z = 0 (c + a) x + (a+b) y + (b + c) z = 0 (a + b) x + (b + c) y +(c + a) z = 0 has

If the system of equations x=c y+b z y=a z+c x z=b x+a y has a non-trivial solution, show that a^2+b^2+c^2+2a b c=1

Solve the following system of equations: x+y=a+b ,\ \ \ \ a x-b y=a^2-b^2

If the system of equations x=c y+b z ,\ \ y=a z+c x ,\ \ z=b x+a y has a non-trivial solution show that a^2+b^2+c^2+2a b c=1

ax+by=12 2x+8y=60 In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of (a)/(b) ?

Statement 1: If system of equations 2x+3y=a and bx +4y=5 has infinite solutions, then a=(15)/(4),b=(8)/(5) Statement 2: Straight lines a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 are parallel if a_(1)/(a_(2))=b_(1)/(b_(2))nec_(1)/c_(2)

If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite solutions, then the value of equation has no solution is -3 b. 1 c. 0 d. 3

RD SHARMA ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. Write the value of k for which the system of equations 3x-2y=0 and ...

    Text Solution

    |

  2. Write the values of k for which the system of equations x+k y=0,\ \...

    Text Solution

    |

  3. Write the set of values of a and b for which the following syste...

    Text Solution

    |

  4. For what value of k , the following pair of linear equations has in...

    Text Solution

    |

  5. Write the number of solutions of the following pair of linear equat...

    Text Solution

    |

  6. Write the number of solutions of the following pair of linear equat...

    Text Solution

    |

  7. The value of k for which the system of equations k x-y=2 and 6x-2y=3...

    Text Solution

    |

  8. The value of k for which the system of equations 2x+3y=5,\ \ \ \ 4x+...

    Text Solution

    |

  9. The value of k for which the system of equations x+2y-3=0 and 5x+k ...

    Text Solution

    |

  10. The value of k for which the system of equations 3x+5y=0 and k x+10...

    Text Solution

    |

  11. If the system of equations 2x+3y=7,\ \ \ \ (a+b)x+(2a-b)y=21 has inf...

    Text Solution

    |

  12. If the system of equations 3x+y=1,\ \ (2k-1)x+(k-1)y=2k+1 is inconsi...

    Text Solution

    |

  13. If a m!=b l , then the system of equations a x+b y=c ,\ \ \ \ l x+m...

    Text Solution

    |

  14. If the system of equations 2x+3y=7,\ \ \ 2a x+(a+b)y=28 has infinite...

    Text Solution

    |

  15. The value of k for which the system of equations x+2y=5,\ \ 3x+k y+1...

    Text Solution

    |

  16. If 2x-3y=7 and (a+b)x-(a+b-3)y=4a+b represent coincident lines, then...

    Text Solution

    |

  17. If a pair of linear equations in two variables is consistent, then t...

    Text Solution

    |

  18. If the system of equations 2x+3y=5,\ \ \ \ 4x+k y=10 has infinitely ...

    Text Solution

    |

  19. If the system of equations k x-5y=2,\ \ \ \ 6x+2y=7 has no solution,...

    Text Solution

    |

  20. The area of the triangle formed by the line x=3,\ \ y=4 and x=y is ...

    Text Solution

    |