Class 10 Mathematics: Pair of Linear Equations
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Q1 · MCQ · 1 mark
For what value of 'k' will the pair of equations 3x + 4y = 12 and (k+2)x + 8y = 10 have no solution?
Q2 · FILL · 1 mark
If a pair of linear equations is consistent, then its graph lines are either intersecting or ________.
Q3 · MCQ · 1 mark
The pair of equations x = a and y = b graphically represents lines which are:
Q4 · SHORT · 2 marks
Write the condition for which a pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 has infinitely many solutions.
Q5 · MCQ · 1 mark
The sum of the digits of a two-digit number is 9. If 27 is added to the number, its digits get reversed. The number is:
Q6 · FILL · 1 mark
If the lines represented by 2x + 3y - 9 = 0 and 4x + 6y - 18 = 0 are drawn, they will be ________ lines.
Q7 · MCQ · 1 mark
Which of the following is not a method to solve a pair of linear equations in two variables?
Q8 · SHORT · 2 marks
One equation of a pair of dependent linear equations is -5x + 7y = 2. Write a possible second equation.
Q9 · FILL · 1 mark
The solution of the equations x + y = 14 and x - y = 4 is x = ______ and y = ______.
Q10 · MCQ · 1 mark
If 3x + 2y = 13 and 3x - 2y = 5, then the value of x is: