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RD Chapter 3 Pair of Linear Equations in Two Variables Ex VSAQS Solutions

Question - 1 : - Write the value of k for which the system of equations x + y – 4 = 0 and 2x + ky – 3 = 0 has no solution.

Answer - 1 : -


Question - 2 : - Write the value of k for which the system of equations 2x – y = 5 6x + ky = 15 has infinitely many solutions.

Answer - 2 : -


Question - 3 : - Write the value of k for which the system of equations 3x – 2y = 0 and kx + 5y = 0 has infinitely many solutions.

Answer - 3 : -

3x – 2y = 0
kx + 5y = 0
Here a1 = 3, b1 = -2, c1 = 0

Question - 4 : - Write the value of k for which the system of equations x + ky = 0, 2x – y = 0 has unique solution.

Answer - 4 : -


Question - 5 : -
Write the set of values of a and b for which the following system of equations has infinitely many solutions.
2x + 3y = 7
2ax + (a + b) y = 28

Answer - 5 : -


Question - 6 : -
For what value of ft, the following pair of linear equations has infinitely many soutions.
10x + 5y – (k – 5) = 0
20x + 10y – k = 0

Answer - 6 : -


Question - 7 : -
Write the number of solutions of the following pair of linear equations :
x + 2y – 8 = 0
2x + 4y = 16 (C.B.S.E. 2009)

Answer - 7 : - x + 2y – 8 = 0 => x + 2y = 8 ….(i)

Question - 8 : -
Write the number of solutions of the following pair of linear equations :
x + 3y – 4 = 0
2x + 6y = 7

Answer - 8 : -


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