Class 10 Exam  >  Class 10 Questions  >  What is the value of k for which the system o... Start Learning for Free
What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?
  • a)
    2
  • b)
    4
  • c)
    6
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the value of k for which the system of equations 3x + 5y = 0 a...
For a non-zero solution,
Free Test
Community Answer
What is the value of k for which the system of equations 3x + 5y = 0 a...
The given system of equations is:
3x + 5y = 0 ----(1)
kx + 10y = 0 ----(2)
In order for the system to have a non-zero solution, the determinant of the coefficient matrix should be equal to zero. Let's find the determinant:
| 3 5 |
| k 10 |
Determinant = (3)(10) - (5)(k) = 30 - 5k
For the system to have a non-zero solution, the determinant should be equal to zero. So, we have:
30 - 5k = 0
5k = 30
k = 6
Therefore, the value of k for which the system of equations has a non-zero solution is 6.
Therefore, the correct answer is option **C) 6**.
Explore Courses for Class 10 exam

Top Courses for Class 10

Question Description
What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer? for Class 10 2026 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer?.
Solutions for What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice What is the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0, has a non-zero solution?a)2b)4c)6d)8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev