Home
Class 10
MATHS
Find the value of k for which the syste...

Find the value of k for which the system of equations
` 3x + 5y = 0 , k x + 10 y = 0 `
has a nonzero solution.

A

k = 3

B

k = 6

C

k = 9

D

k = 12

Text Solution

Verified by Experts

The correct Answer is:
B

The given system has a nonzero solution when ` ( 3)/(k ) = ( 5)/(10) rArr k = 6`.
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|27 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos
  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3E|53 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 value of k for which the system of equations " " 5x - 3y = 0 , 2x + ky = 0 has a nonzero solution.

Find the valus of k for which the system of equations x - 2y = 3, 3 x + k y = 1 has a unique solution.

Write the value of k for which the system of equations 3 x + ky = 0 , 2x - y = 0 has a unique solution.

The value of k, for which the system of equations 3x -ky-20 = 0 and 6x - 10y + 40 = 0 has no solution, is

The value of k for which the system of equations 3x+5y=0 and kx+10y=0 has a non-zero solution,is (a) 0 (b) 2 (c) 6 (d) 8

Find the value of k in which the system of equations kx + 2y = 5 and 3x + y = 1 has no solution ?

The value of k for which the system of equations x+y -4 = 0 and 2x + ky = 3 has no solution, is:

Find the value of k for which the system of equations 2x + ky = 1 and 3x - 5y = 7 has a unique solution.

Find the value of k for which the system of linear equations x + ky = 0, 2x - y =0 has uniques solution.

RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3F
  1. For what value of k does the system of linear equations 2x+3y=7 ...

    Text Solution

    |

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

    Text Solution

    |

  3. For what value of k will the following pair of linear equations h...

    Text Solution

    |

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

    Text Solution

    |

  5. Write the value of k for which the system of equations 3 x + ky ...

    Text Solution

    |

  6. The difference between two numbers is 5 and the difference between ...

    Text Solution

    |

  7. The cost of 5 pens and 8 pencils is ₹ 120, while the cost of 8 p...

    Text Solution

    |

  8. The sum of two numbers is 80. If the larger number exceeds four times ...

    Text Solution

    |

  9. A number consists of two digits whose sum is 8 if 18 is added to the n...

    Text Solution

    |

  10. A man purchased 47 stamps of 20 p and 25 p for ₹ 10. Find th...

    Text Solution

    |

  11. A man has some hens and cows. If the number of heads be 48 and nu...

    Text Solution

    |

  12. Solve the following system of equations: 2/x+3/y=9/(x y),\ \ \ 4/x+...

    Text Solution

    |

  13. If (x)/(4) + ( y)/(3) = (5)/(12) and (x)/(2) + y = 1 then ...

    Text Solution

    |

  14. If 12 x + 17 y = 53 and 17 x + 12 y = 63 then find t...

    Text Solution

    |

  15. Find the value of k for which the system of equations 3x + ...

    Text Solution

    |

  16. Find the values(s) of k for which the system of equations k x-y=2 6x-...

    Text Solution

    |

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

    Text Solution

    |

  18. Show that the system 2 x + 3y - 1 = 0 , 4x + 6y - 4 = 0 has no ...

    Text Solution

    |

  19. Find k for which the system x + 2y = 3 and 5x + ky + 7 = 0 is i...

    Text Solution

    |

  20. Solve : (3)/(x + y ) + ( 2)/(x - y ) = 2 and (9)/(x + y ) - ...

    Text Solution

    |