Question types

Linear Equation In Two Variable question types

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

250
Questions
5
Question groups
5
Question types
Sample Questions

Linear Equation In Two Variable 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?
  • A
    $x^2y > 0$
  • B
    $x + y = 0$
  • C
    $xy < 0$
  • $\frac{1}{\text{x}}-\frac{1}{\text{y}}=0$

Answer: D.

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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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Q 215 Marks Question5 Marks
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Mona paid ₹ 27 for a book kept for 7 days, while Tanvy paid ₹ 21 for the book she kept for 5 days. Find the fixed charge and the charge for each extra day.
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Q 245 Marks Question5 Marks
A man sold a chair and a table together for ₹1520, thereby making a profit of 25% on chair and 10% on table. By selling them together for ​₹1535, he would would have made a profit of 10% on the chair and 25% on the table. Find the cost of each.
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