Question types

Linear Equations In Two Variables question types

250 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

250
Questions
4
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.

If $x = -y$ and $y > 0$, which of the following is wrong?
  • $x^2y > 0$
  • B
    $x + y = 0$
  • C
    $xy < 0$
  • D
    $\frac{1}{\text{x}}-\frac{1}{\text{y}}=0$

Answer: A.

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If the lines given by $3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel then the value of $k$ is:
  • A
    $\frac{-5}{4}$
  • B
    $\frac{2}{5}$
  • C
    $\frac{3}{2}$
  • $\frac{15}{4}$

Answer: D.

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If $\frac{2\text{x}}{3}-\frac{\text{y}}{2}+\frac{1}{6}=0$ and $\frac{\text{x}}{2}+\frac{2\text{y}}{3}=3$ then:
  • x = 2, y = 3
  • B
    x = -2, y = 3
  • C
    x = 2, y = -3
  • D
    x = -2, y = -3

Answer: A.

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The sum of the digits of a two-digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. The number is:
  • A
    96
  • B
    69
  • C
    87
  • 78

Answer: D.

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If $2x - 3y = 7$ and $(a + b)x - (a + b - 3)y = 4a + b$ have an infinite number of solutions, then:
  • A
    $a = 5, b = 1$
  • B
    $a = -5, b = 1$
  • C
    $a = 5, b = -1$
  • $a = -5, b = -1$

Answer: D.

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Very-Short and Short-Answer Questions:
If $\frac{2}{\text{x}}+\frac{3}{\text{y}}=\frac{9}{\text{xy}}$ and $\frac{4}{\text{x}}+\frac{9}{ \text{y}}=\frac{21}{\text{xy}},$ find the values of x and y.
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