Lines Parallel to Coordinate Axes

Write the equation representing x-axis.

Write the equation of a line passing through the point $(3,5)$ and parallel to $x$-axis.

x = −5 can be expressed as a linear equation in two variables.

1. 1x+1y=5

2. 1x+0y= -5

1. 2y = 5x
2. 2y = 5
3. 2x = 5
4. 2x + 3y = 5

1. $(x,y)$
2. $(0,y)$
3. $(x,0)$
4. $(x,-y)$

At what point does the line x + y = 5 meet a line which is parallel to the y-axis at a distance 2 units from the origin and in the positive direction of x-axis?

1. (3, 2)

2. (2, 2)

3. (2, 3)

4. (3, 3)

Question 2
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

$\begin{array}{cccccc}x& -2& -1& 0& 1& 3\\ y& 8& 7& -1.25& 3& -1\end{array}$

What is the perpendicular distance of the point A (7, -4) from (i) x-axis (ii) y-axis?

The straight line x = a (where a is a constant) is parallel to the ___ - axis.

Write the equation of a line parallel to y-axis and passing through the point (-3, -7).

What is the perpendicular distance of the point Q (5, 7) from X-axis?

1. 5

2. 7

3. 12

4. Cannot be determined

The straight line x = a (where a is a constant) is parallel to the ___ - axis.

Write the equation of a line passing through the point (0, 4) and parallel to x-axis.

1. 5 units
2. 3 units
3. 2 units
4. 1 units

See the given figure, and write the following:

(i) The coordinates of B.

(ii) The coordinates of C.

(iii) The point identified by the coordinates.

(iv) The point identified by the coordinates

(v) The abscissa of the point D.

(vi) The ordinate of the point H.

(vii) The coordinates of the point L.

(viii) The coordinates of the point M

In the equation $ax+by+c=0$, where c is a constant, if $a=b=0$ then

1. it is a linear equation in 2 variables

2. it is a linear equation in 1 variable

3. it is not a linear equation

4. None of these

1. x-axis
2. y-axis
3. Line parallel to the x-axis
4. Line parallel to the y-axis

Question 12
Taking 0.5 cm as 1 unit, plot the following points on the graph paper.
A(1, 3), B(-3, -1), C(1, -4), D(-2, 3), E(0, -8) and F(1, 0)

Question 119 (xi)

Write two integers whose product is smaller than both the integers.

A line passes through the point (-4, 6) and is parallel to x-axis. Find its equation.

1. x-axis 3 : 1, y-axis 2 : 1
2. x-axis 1 : 1, y-axis 1 : 4
3. x-axis 2 : 3, y-axis 1 : 2
4. x-axis 1 : 3, y-axis 1 : 2

In the given graph, the sum of the x coordinate and y coordinate of the point is _____.

1. 2

2. 3
3. 4
4. 5

1. 0x + 2y = -3
2. 0x - 2y -3 = 0
3. 0x + 2y + 3 = 0
4. 0x + 2y - 3 = 0

Point P (x, y) is a point in the first quadrant of the Cartesian plane. Then

1. x and y both are positive

2. x and y both are negative

3. x is negative and y is positive

4. x is positive and y is negative