Question types

Linear Equations in Two Variables question types

66 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

66
Questions
5
Question groups
5
Question types
Sample Questions

Linear Equations in Two Variables questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
The equation 2x + 5y = 7 has a unique solution, if x and y are:
  1. Natural numbers.
  2. Rational numbers.
  3. Positive real numbers.
  4. Real numbers.
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Q 2M.C.Q1 Mark
The linear equation 3x - 5y = 15 has:
  1. A unique solution.
  2. Two solutions.
  3. Infinitely many solutions.
  4. No solution.
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Q 4M.C.Q1 Mark
The point of the form $(\text{a},-\text{a}),\ \text{a}\neq0$ lies on:
  1. The x-axis
  2. The y-axis
  3. The line y = x
  4. The line x + y = 0
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Q 5M.C.Q1 Mark
The graph of the linear equation 2x + 3y = 6 meets the y-axis at the point:
  1. (2, 0)
  2. (3, 0)
  3. (0, 2)
  4. (0, 3)
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The cost of 5 pencils is equal of the cost of 2 ballpoints. Write a linear equation in two variables to represent this statement. (Take the cost of a pencil to be Rs. x and that of a ballpoint to be Rs. y).
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Draw the graph for each of the equations x + y = 6 and x - y = 2 on the same graph paper and find the coordinates of the point where the two straight lines intersect.
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Draw the graph of the line 4x + 3y = 24.
  1. Write the coordinates of the point where this line interects the x-axis and the y-axis.
  2. Use this graph to find the area of the triangle formed by the graph line and the coordinate axes.
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Draw the graph of the equation, 3x - 2y = 4 and x + y - 3 = 0.
On the same graph paper find the coordinates of the point where the two graph lines intersect.
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