Geometrical Representation of a Linear Equation

Q.

The coach of a cricket team buys $3$ bats and 6 balls for $₹3900$. Later, she buys another bat and $3$ more balls of the same kind for $₹1300$. Represent this situation algebraically and geometrically.

Q.

The equation $2x-y=0$ represents the line given in the graph shown below.

1. True

2. False

Q.

The graphical representation of Linear equation is

1. Curve

2. Parabola

3. Straight line

4. Both A and C

Q.

Whats the graph of a linear equation in 2 variables?

1. sinewave

2. none of these

3. parabola

4. straightline

Q. Prove that The lines $2x+y=2$, $x+2y=1$ and $x+y=1$ pass through the same point.

Q. Determine, algebraically, the vertices of the triangle formed by the lines
3x – y = 3
2x – 3y = 2
x + 2y = 8

Q.

The point where the line $x+y=5$ touches the y-axis is (0, b) and where it touches the x-axis is (a, 0) ,

then a+b =

___

Q.

Question 3
The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Q. Determine, algebraically, the vertices of the triangle formed by the lines
3x – y = 3
2x – 3y = 2
x + 2y = 8

Q.

The point (7, 3) falls on which of the following lines?

1. $11y+2x=132$

2. $x+3y=16$

3. $3y+2x=25$

4. $2x+7y=92$

Q.

What is the graph of a linear equation in 2 variables?

1. Parabola

2. Straight line

3. Sine wave

4. None of these

Q.

The point where the line $x+y=5$ touches the y-axis is (0, b) and where it touches the x-axis is (a, 0) ,

then a+b =

___

Q.

Question 2
The coach of a cricket team buys 3 bats and 6 balls for Rs 3900. Later, she buys another bat and 2 more balls of the same kind for Rs 1300. Represent this situation algebraically and geometrically.

Q.

The point (7, 3) falls on which of the following lines?

1. $11y+2x=132$
2. $3y+2x=25$
3. $x+3y=16$
4. $2x+7y=92$

Q.

Represent the statement in the fomr of a quadratic equation. A cottage industry produces a certain number of toys in a day. The cost of production of each toy is $55$ minus the number of toys produced. On a particular day the total cost of production for the toys produced is $750$.

Q.

What is the graph of a linear equation in 2 variables?

1. parabola

2. straightline

3. sinewave

4. none of these

Q. Question 3
Write whether the following statement is True or False?
The graph given below represents the linear equation x + y = 0.

Q. is the equation of the line that pass through the points $(0,12)$ and $(1,8).$

1. $4x+y=11$
2. $3x+y=12$
3. $4x+y=12$