Home
Class 10
MATHS
The pair of equations x + 2y + 5 = 0 and...

The pair of equations `x + 2y + 5 = 0` and ` -3x - 6y + 1 = 0` has

A

a unique solution

B

exactly two solutions

C

infinitely many solutions

D

no solution

Text Solution

Verified by Experts

The correct Answer is:
D
Here, ` (a_1)/(a_2) = (1)/(-3), (b_1)/(b_2) = (2)/(-6) = (-1)/(3) and (c_1)/(c_2) = (5)/(1)`.
` therefore (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2) `. So, the given system has no solution.
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise QUESTION|2 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3F|21 Videos

  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

  • MEAN,MEDAN,MODE OF GROUPED,DATA CUMULATIVE FREQUENCY GRAPH AND OGIVE

    RS AGGARWAL|Exercise Test Yourself|18 Videos

Similar Questions

Explore conceptually related problems

Find the number of solutions for the pair of equations x + 3y + 5 =0 and - 3x - 9y + 2 =0.

Find the values of p in (i) to (iv) and p and q in (v) for the following pair of equations (i) 3x - y - 5 = 0 and 6x - 2y - p = 0 , if the lines represented by these equations are parallel. (ii) -x + py = 1 and px - y = 1 , if the pair of equations has no solution. (iii) -3x + 5y = 7 and 2px - 3y = 1 , if the lines represented by these equations are intersecting at a unique point. (iv) 2x + 3y - 5 = 0 and px - 6y - 8 = 0 , if the pair of equations has a unique solution. (v) 2x + 3y = 7 and 2px + py = 28 - qy , if the pair of equations has infinitely many solutions.

The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if

The pair of equations 2 x + y = 5, 3x + 2y = 8 has

Find the solution of pair of linear equation x + 2y - 2 = 0 and x - 3y - 7 = 0.

For what value(s) of k, the pair of linear equations -2x + 5y = 0 and kx + 3y = 0 has a non-zero solutions?

Find the value(s) of k so that the pair of equations x+ 2y =5 and 3x+ ky + 15=0 has a unique solution

The value of k, so that the following system of equations 3x – y + 5 = 0 and 6x - 2y + k=0 has no solution, is

Find the value (s) of so that the pair of equations x+2y= 5 and 3x+ ky + 15=0 has a unique solution

Is the pair of equations 3x - 5y =6 and 4x -6y =7 consistent ? Justify your answer.

RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Multiple Choice Questions (Mcq)
  1. If 29 x + 37y = 103 and 37x + 29y = 95 then

    Text Solution

    |

  2. If 2^(x + y ) = 2^(x - y ) = sqrt8 then the value of y is

    Text Solution

    |

  3. If (2)/(x) + (3)/(y) = 6 and (1)/(x) + (1)/(2y) = 2 then

    Text Solution

    |

  4. The system kx - y = 2 and 6x - 2y = 3 has a unique solution on...

    Text Solution

    |

  5. The system x - 2y = 3 and 3x + ky = 1 has a unique sol...

    Text Solution

    |

  6. For what value of k does the system of equations x+2y=3 and 5x + ky + ...

    Text Solution

    |

  7. If the lines given by 3x+2ky= 2 and 2x+5y+1=0 are parallel, then the ...

    Text Solution

    |

  8. For what value of k do the equations kx-2y = 3 and 3x + y = 5 represen...

    Text Solution

    |

  9. The pair of equations x + 2y + 5 = 0 and -3x - 6y + 1 = 0 has

    Text Solution

    |

  10. The pair of equations x + 2y + 5 = 0 and -3x - 6y + 1 = 0 has

    Text Solution

    |

  11. If a pair of linear equations is consistent then their graph lines...

    Text Solution

    |

  12. If a pair of linear equations is inconsistent then their graph l...

    Text Solution

    |

  13. In a Delta ABC, angle C = 3 angle B = 2 (angle A + angle B), the...

    Text Solution

    |

  14. In a cyclic quadrilateral ABCD, it is being given that angle A =...

    Text Solution

    |

  15. The sum of digits of a two-digit number is 15. The number obtained b...

    Text Solution

    |

  16. In a given fraction, if 1 subtracted from the numerator and 2 ...

    Text Solution

    |

  17. 5 years hence, the age of a man shall be 3 times the age of his ...

    Text Solution

    |

  18. The graphs of the equations 6x- 2y+9 =0 and 3x -y+12=0 lines which ar...

    Text Solution

    |

  19. The graphs of the equations 2x +3y-2=0 and x-2y-8=0 lines which are

    Text Solution

    |

  20. The graphs of the equations 5x-15y = 8 and 3x-9y=24/5 are two line whi...

    Text Solution

    |