Parameter values for no, unique or infinitely many solutions (coefficient ratios)
This type of question, asked 9 times: 10 Sep 2024 S3, 12 Sep 2024 S2, 12 Sep 2024 S3, 13 Sep 2024 S2, 17 Sep 2024 S1, 17 Sep 2024 S2, 24 Sep 2024 S2, 25 Sep 2024 S1, 25 Sep 2024 S2. All 10 questions below, oldest first.
Try each one first, then open its answer.
Question 1
10 Sep 2024 S3
70For what value of k will the lines and have no solution?Tap an option to check your answer.
Question 2
12 Sep 2024 S2
75For the following equations, what are the values of a and b to have infinitely many solutions?Tap an option to check your answer.
Question 3
12 Sep 2024 S3
54Which of the following is the sum of the values of a and b if the equations , have infinite solutions?Tap an option to check your answer.
Question 4
13 Sep 2024 S2
69For which of the following values of a and b do the given equations, have NO solution? x - ay = 2 - a (1 - a)x + 6y = a + bTap an option to check your answer.
Question 5
17 Sep 2024 S1
65For what value of k, the system of equations kx - 15y + 7 = 0 and 7x - 21y - 19 = 0 has NO solution?Tap an option to check your answer.
Question 6
17 Sep 2024 S2
53For what value of k, the system of equations 4x + 12y + 36 = 0 and 5x + ky + 45 = 0 has an infinite number of solutions?Tap an option to check your answer.
Question 7
24 Sep 2024 S2
61For what value of K does the following system have an infinite number of solutions? x + 2Ky - 8 = 0 2x - y - 16 = 0Tap an option to check your answer.
Question 8
25 Sep 2024 S1
71Find the values of 'a' and 'b' for which the system of equations 3x+y=3 and (a-b)x+ (a+b)y=3a+b-3 has infinite solutions.Tap an option to check your answer.
Question 9
25 Sep 2024 S2
52The relation between and for which the system of linear equations and represents coincident lines, is:Tap an option to check your answer.
Question 10
25 Sep 2024 S2
74Find the value of 'k' for which the system of equations and has a unique solution.Tap an option to check your answer.