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Standard X
Mathematics
Points on a Cartesian Plane
Question

Which of the following statements is true?
  1. The x−axis is a vertical line.
  2. The point of intersection between the x−axis and y−axis is called the origin.
  3. The y−axis is a horizontal line.
  4. The scale on both axes must be the same in a Cartesian plane.

A
The point of intersection between the x−axis and y−axis is called the origin.
B
The x−axis is a vertical line.
C
The y−axis is a horizontal line.
D
The scale on both axes must be the same in a Cartesian plane.
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Solution
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Let us investigate the options.
Option A: ⟶ Any point on the x−axis is (x,0). x−axis is horizontal.
So, option A is incorrect.
Option B: ⟶ Any point on the y−axis is (0,y). y−axis is vertical.
So, option B is incorrect.
Option C: ⟶ We can choose any convenient scale on x−axis and y−axis.
So, option C is incorrect.
Option D:
X−axis & Y−axis are perpendicular to each other and they intersect at O which is the origin.

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Similar Questions
Q1
In a cartesian plane, the point of intersection of x-axis and y-axis is called as:
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Q2
State True or False and write the correct statement.
1. In the cartesian plane the horizontal line is called Y-axis.
2. In the cartesian plane the vertical line is called Y-axis.
3. The point which lies both the axes is called origin.
4. The point (2,−3) lies in the third quadrant.
5. (−5,−8) lies in the fourth quadrant.
6. The point (-x,-y) lies in the first quadrant where x<0,y,0.
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Q3

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?


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Q4

Fill in the blanks:

(a) The y-coordinate of a point on the x-axis is ____________.

(b) The x-axis coordinate is called as ____________.

(c) The x-axis and y-axis intersect at ____________.

(d) If a point (x, y) ≠ (0, 0) is in the third quadrant, then x + y has _____________ sign.

(e) If a point (x, y) lies above horizontal axis, then y is always _____________.

(f) The point of intersection of x = y and x = − y is ____________.

(g) The line y = 4x + 5 intersects y-axis at the point ____________.

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Q5
Write the answer of each of the following questions:

(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

(ii) Write the name of the point where x-axis and y-axis intersect.
View Solution