# Coordinate Axes and Cartesian Plane

## Trending Questions

**Q.**

What is y=mx+c? Explain

**Q.**

The pair of equations $x=a$ and $y=b$ graphically represent lines which are,

Parallel

Intersecting at $(b,a)$

Coincident

Intersecting at $(a,b)$

**Q.**

Question 10

A point lies on positive direction of x-axis at a distance of 7 units from the y-axis. What are its Coordinates, if this lies in the negative direction of y-axis at a distance of 7 units from x-axis?

**Q.**

Statement-1: The coordinate of a point on the x-axis is of the form (x, 0) and that of the point on the y-axis is (y, 0).

Statement-2: The point of intersection of the axes is called the origin.

Which of the following is true?

Statement 1 is false and Statement 2 is true.

Statement 1 is true and Statement 2 is false.

Both the Statement 1 and 2 are true.

Both the Statement 1 and 2 are false.

**Q.**

Find the area of a curve $xy=4$ bounded by the lines $x=1$ and $x=3$ and $x-axis$

$\mathrm{cos}\left(12\right)$

$\mathrm{log}\left(64\right)$

$\mathrm{log}\left(81\right)$

$\mathrm{log}\left(27\right)$

**Q.**

Given the point P (3, 4). What is the distance of point P from (a) x-axis (b) y-axis?

**Q.**

The equation of the y - axis is

(a) x = 0

(b) y = 0

(c) x = y

(d) x + y = 0

**Q.**

Any point on the y - axis is of the form

(a) (x, y)

(b) (0, y)

(c) (x, 0)

(d) (y, y)

**Q.**

Assertion: The coordinates of the origin are (0, 0).

Reason: Origin has zero distance from both the x-axis and y-axis.

Which of the following is correct?

Both A and R are true and R is not the correct explanation of A.

A is false and R is true.

Both A and R are true and R is the correct explanation of A.

A is true and R is false.

**Q.**

The equation of the x - axis is

(a) x = 0

(b) y = 0

(c) x = y

(d) x + y = 0

**Q.**A point lies on. x axis at a distance of 9 units from y axis what are its coordinates

**Q.**

Describe Graphing Linear Equations

**Q.**

Any point on the x - axis is of the form

(a) (x, y)

(b) (0, y)

(c) (x, 0)

(d) (x, x)

**Q.**

Draw a line parallel to the x-axis at a distance of 2 units below the x-axis. [2 MARKS]

**Q.**

The line represented by the equation x = a is perpendicular to ____.

x-axis

y-axis

the line x = 4

the line x = -2

**Q.**Which of the following statements is not always correct?

- x – 3 = 0, is the equation of a line parallel to the y-axis and passing through (3, 0).
- The equation y = 4x + 3b, where b is a constant, has infinitely many solutions.
- The equation of line whose x-coordinate is always thrice of the y-coordinate is x = 3y.
- The graph of the equation y = mx + c always passes through the origin.

**Q.**

The equation of y-axis is:

x = 0

x + y = 0

y = 0

x = y

**Q.**

Write the equation of y -axis in term of x and y

**Q.**Draw the graph of the equation, y = −x.

**Q.**In point B(5, 6), 6 is called

- Abscissa
- Ordinate
- Origin

**Q.**

Give the geometric representation of *y* = 3 as an equation

(I) in one variable

(II) in two variables

**Q.**y = 0 is the equation of

(a) the x-axis

(b) the y-axis

(c) a line parallel to the x-axis

(d) a line parallel to the y-axis

**Q.**

How many linear equation in $x$ and $y$ can be satisfied by $x=2$ and $y=3$ ?

Only one

Only two

Infinite

Zero

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

**Q.**If 3x–4y+12=0 and 3x+2y–6=0, then area of triangle formed by the given lines and x-axis is (in sq. units)

- 8
- 9
- 11
- 12

**Q.**

Lines perpendicular to the X axis are represented by the equation x = a

True

False

**Q.**Write the equation of straight line passing through the points (-1, 1), (0, 0) and (1, -1)

**Q.**The

- x
- y
- z

**Q.**

Coordinates of a point on the y-axis is of the form _____________.

[2 MARKS]

**Q.**

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

x−2−103y87−1.25−1