Linear Equations in Two Variables - Jharkhand Board (JAC) STD 9 Maths Questions - Vidyadip

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

M.C.Q

2 Marks Questions

3 Marks Question

5 Marks Questions

4 Marks Questions

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:

✓
Natural numbers.
B
Rational numbers.
C
Positive real numbers.
D
Real numbers.

Answer: A.

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Q 2M.C.Q1 Mark

A linear equation in two variables $x$ and $y$ is of the form $ax = by + c = 0$, where:

✓
$\text{a}\neq0,\ \text{b}\neq0$
B
$\text{a}\neq0,\ \text{b}=0$
C
$\text{a}=0,\ \text{b}\neq0$
D
$\text{a}=0,\ \text{c}=0$

Answer: A.

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Q 3M.C.Q1 Mark

Any point on the $x$-axis is of the form:

A
$(x, y)$
B
$(0, y)$
✓
$(x, 0)$
D
$(x, x)$

Answer: C.

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Q 4M.C.Q1 Mark

The linear equation $3x - 5y = 15$ has:

A
A unique solution.
B
Two solutions.
✓
Infinitely many solutions.
D
No solution.

Answer: C.

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Q 5M.C.Q1 Mark

The graph of the line $y = -3$ does not pass through the point:

A
$(2, -3)$
B
$(3, -3)$
C
$(0, -3)$
✓
$(-3, 2)$

Answer: D.

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Q 62 Marks Questions2 Marks

Express the following equation in the form $ax + by + c = 0$ and indicate the values of $a, b, c$ in case.$\frac{\text{x}}{5}-\frac{\text{y}}{6}=1$

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Q 72 Marks Questions2 Marks

Express the following equation in the form $ax + by + c = 0$ and indicate the values of $a, b, c$ in case.$2\text{x}-\frac{\text{y}}{5}+6=0$

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Q 82 Marks Questions2 Marks

Express the following equation in the form $ax + by + c = 0$ and indicate the values of $a, b, c$ in case. $3y - 2x = 6$

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Q 92 Marks Questions2 Marks

Express the following equation in the form $ax + by + c = 0$ and indicate the values of $a, b, c$ in case. $3x - y = x - 1$

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Q 102 Marks Questions2 Marks

Check the following are the solution of the equation $5x - 4y = 20.\Big(2,\ \frac{-5}{2}\Big)$

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Q 113 Marks Question3 Marks

Draw the graph of the following equation. $y + 5 = 0$

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Q 123 Marks Question3 Marks

Draw the graph of the following equation. $x = 5$

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Q 133 Marks Question3 Marks

Draw the graph of the following equation. $y = 4$

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Q 143 Marks Question3 Marks

Draw the graph of the following equation.
$x + 4 = 0$.

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Q 153 Marks Question3 Marks

Draw the graph of the following equation. $y = 3$

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Q 165 Marks Questions5 Marks

Draw the graph of the equation $2x - 3y - 3 = 5$.From your graph, Find:
$i.$ The value of $y$ when $x = 4$
$ii.$ The value of $x$ when $y = 3$.

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Q 175 Marks Questions5 Marks

Draw the graph of the equation, $3x + 2y = 6$. Find the coordinates of the point where the graph cuts the $y$-axis.

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Q 185 Marks Questions5 Marks

Draw the graph of the equation, $2x + y = 6$. Find the coordinates of the point where the graph cuts the $x$-axis.

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Q 195 Marks Questions5 Marks

Draw the graphs of the lines $x - y = 1$ and $2x + y = 8$. Shade the area formed by these two and the $y$-axis. Also, find this area.

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Q 205 Marks Questions5 Marks

Draw the graph of the lines $2x + y = 6$ and $2x - y + 2 = 0$. Shade the region bounded by these lines and the $x$-axis. Find the area of the shaded region.

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Q 214 Marks Questions4 Marks

Draw the graph of the equation $x + 2y - 3 = 0$ From your graph, find the value of $y$ when,

$i. x = 5$

$ii. x = -5.$

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