RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Multiple Choice Questions (MCQs) Solutions
The value of k for which the system of equations kx-y=2 and 6x-2y = 3 has a unique solution is (a) = 3 (b) ≠ 3 (c) ≠ 0 (d) = 0 Watch Solution
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 Watch Solution
The value of k for which the system of equations x+2y-3=0 and 5x+ky+7=0 has no solution, is (a) 10 (b) 60 (c) 3 (d) 1 Watch Solution
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 Watch Solution
If the system of equations 2x+3y=7, (a+b)x+(2a-b)y=21 has infinitely many solutions, then (a) a=1, b=5 (b) a=5, b=1 (c) a= -1, b=5 (d) a=5, b= -1 Watch Solution
If the system of equations 3x+y=1, (2k-1)x+(k-1)y=2k+1 is inconsistent, then k= (a) 1 (b) 0 (c) -1 (d) 2 Watch Solution
If am ≠ bl , then the system of equations ax + by = c, Ix + my = n (a) has a unique solution (b) has no solution (c) has infinitely many solutions (d) may or may not have a solution. Watch Solution
If the system of equations 2x+3y=7, 2ax+(a+b)y=28 has infinitely many solutions, then (a) a = 2b (b) b = 2a (c) a + 2b = 0 (d) 2a + b = 0 Watch Solution
The value of k for which the system of equations x+2y=5 , 3x+ky+15=0 has no solution is (a) 6 (b) -6 (c) 3/2 (d) none of these Watch Solution
If 2x-3y=7 and (a+b)x-(a+b-3)y=4a+b represent coincident lines, then a and b satisfy the equation (a) a + 5b = 0 (b) 5a + b = 0 (c) a – 5b = 0 (d) 5a – b = 0 Watch Solution
The value of k for which the system of equations kx-y=2 and 6x-2y = 3 has a unique solution is (a) = 3 (b) ≠ 3 (c) ≠ 0 (d) = 0 Watch Solution
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 Watch Solution
The value of k for which the system of equations x+2y-3=0 and 5x+ky+7=0 has no solution, is (a) 10 (b) 60 (c) 3 (d) 1 Watch Solution
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 Watch Solution
If the system of equations 2x+3y=7, (a+b)x+(2a-b)y=21 has infinitely many solutions, then (a) a=1, b=5 (b) a=5, b=1 (c) a= -1, b=5 (d) a=5, b= -1 Watch Solution
If the system of equations 3x+y=1, (2k-1)x+(k-1)y=2k+1 is inconsistent, then k= (a) 1 (b) 0 (c) -1 (d) 2 Watch Solution
If am ≠ bl , then the system of equations ax + by = c, Ix + my = n (a) has a unique solution (b) has no solution (c) has infinitely many solutions (d) may or may not have a solution. Watch Solution
If the system of equations 2x+3y=7, 2ax+(a+b)y=28 has infinitely many solutions, then (a) a = 2b (b) b = 2a (c) a + 2b = 0 (d) 2a + b = 0 Watch Solution
The value of k for which the system of equations x+2y=5 , 3x+ky+15=0 has no solution is (a) 6 (b) -6 (c) 3/2 (d) none of these Watch Solution
If 2x-3y=7 and (a+b)x-(a+b-3)y=4a+b represent coincident lines, then a and b satisfy the equation (a) a + 5b = 0 (b) 5a + b = 0 (c) a – 5b = 0 (d) 5a – b = 0 Watch Solution
Aruna has only ₹ 1 and ₹ 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹ 75, then find the number of ₹ 1 and ₹ 2 coins respectively. (a) 35 and 15 (b) 35 and 20 (c) 15 and 35 (d) 25 and 25 Watch Solution
Pair of Linear Equations in Two Variables – R.D. Sharma Class 10th Math
