Vertical and Horizontal Lines

Q.

The slope of a line parallel to Y-axis is zero.

1. True

2. False

Q. The slope of a line parallel to the y-axis is:

1. 1
2. \N
3. 3
4. Undefined

Q.

The line $y=4$ is parallel to $y$-axis and at a distance of 4 units from it.

1. True

2. False

Q. There are two routes to travel from the place A to B by bus. The first bus reaches the place B via C and the second bus reaches the place B from A directly. The position of A, B and C are represented in the following graph.

Based on the above information, answer the following questions.

The distance between A and B is _____.

1. 13 km
2. 26 km
3. $\sqrt{13}$ km
4. $2\sqrt{13}$ km

Q. There are two routes to travel from the place A to B by bus. The first bus reaches the place B via C and the second bus reaches the place B from A directly. The position of A, B and C are represented in the following graph.

Based on the above information, answer the following questions.

The distance between A and C is _____.

1. 5 km
2. 2 km
3. $\sqrt{5}$ km
4. $5\sqrt{2}$ km

Q.

Find the point on $y$-axis which is at a distance of 4 units from a point P(4, 2).

1. $(0,-1)$

2. $(2,0)$

3. $(0,2)$

4. $(0,0)$

Q. The equation of a line parallel to y-axis is __.

Q. Slope of a line parallel to x axis is_____.

1. zero
2. undefined
3. positive
4. negative

Q.

The points on X-axis at a distance of 10 units from (11, –8) are __________.

1. (5, 0) and (16, 0)
2. (6, 0) and (17, 0)
3. (5, 0) and (17, 0)
4. (5, 2) and (17, 0)

Q.

The line $x=\frac{1}{2}$ is parallel to y-axis and at a distance of a $\frac{1}{2}$ unit from it.

1. True

2. False

Q.

Slope of the line $y=8$ is 0.

1. True

2. False

Q. A line parallel to $y-$ axis has slope as undefined.

1. True
2. False

Q.

' x=0 ' is the equation of

1. the fourth quadrant

2. y-axis

3. x-axis

4. the first quadrant

Q.

The slope of the line that is parallel to x – axis is _____.

1. Insufficient data

2. 0

3. Not definite

4. 1

Q. The slope of the line that is parallel to x – axis is $0$.

1. True
2. False

Q. With rectangular axes plot the points $O(0,0),A(5,0),B(5,4)$. Find the coordinate of point C such that OABC forms a rectangle.

1. $(2,4)$
2. $(0,4)$
3. $(0,2)$
4. None of these

Q. Franklin saves ₹25 every month. Plot a graph for his savings in 9 consecutive months. Also, find the equation of the line that represents the situation.

Q.

Equation of x-axis is

1. x=y

2. x+y=0

3. y=0

4. x=0

Q. The point (2, 0) lies __________.

1. on the X-axis
2. in the second quadrant
3. on the Y-axis
4. in the third quadrant

Q. In what ratio is the line joining $A(8,9)$ and $B(7,-4)$ is divided by the $x-$axis?

1. $9:4$ (externally)
2. $9:4$ (internally)
3. $4:9$ (internally)
4. $4:9$ (externally)