COORDINATE GEOMETRY - MCQs

🎯 Knowledge Check

Maths — COORDINATE GEOMETRY

50 Questions Class 10 MCQs
1
What are the coordinates of the origin?
2
A point with coordinates (3, -5) lies in which quadrant?
3
The distance between the points (0,0) and (6,8) is:
4
For points \((x_1, y_1)\) and \((x_2, y_2)\), the distance formula is:
5
The midpoint of the segment joining (4, 6) and (2, 10) is:
6
The point (0, y) always lies on the:
7
Distance between (1,2) and (1,8) is:
8
A point equidistant from (2, 3) and (2, -1) must lie on:
9
The coordinates of a point dividing the segment between (-4, 2) and (6, 8) in ratio 1:1 is:
10
If the distance between two points is zero, they are:
11
Distance of point (7, 24) from origin is:
12
Which of the following lies in Quadrant II?
13
Midpoint of (0, 0) and (8, 4) is:
14
The distance between (-3, 4) and (3, 4) is:
15
The abscissa of point (6, -2) is:
16
The ordinate of (-7, 12) is:
17
A point on x-axis has coordinates:
18
What is the distance between (5, 9) and (5, 9)?
19
Section formula divides a segment in ratio:
20
Midpoint of (a, b) and (c, d) is:
21
The point (3, 0) lies on:
22
Which point has both coordinates negative?
23
Distance between (0, 5) and (12, 5) is:
24
The point dividing (2, 2) & (10, 6) in ratio 1:3 is:
25
In the distance formula, squaring ensures:
26
What is the distance between (-4, -3) and (-4, 5)?
27
The point (0, -3) is on:
28
Which point lies in Quadrant I?
29
Distance between (3, 4) and (0, 0) is:
30
Midpoint of (6, -2) and (10, -6) is:
31
If a point lies in Quadrant III, its coordinates satisfy:
32
A point on y-axis must have:
33
The distance between (a, b) and (a, d) is:
34
Which is NOT true about a midpoint?
35
The coordinates of a point are (x, y). Here x is:
36
Distance between (1, 7) and (9, 7) is:
37
The point (-5, 0) belongs to:
38
Coordinates dividing (4, 6) and (8, 10) in 1:1 ratio:
39
Distance between (-2, -3) and (2, 3) is:
40
The distance of \((x, y)\) from origin is:
41
Which is true for Quadrant IV?
42
Distance between (-1, 4) and (3, 4) is:
43
Midpoint of (-2, -2) & (6, 6):
44
A point dividing a segment externally uses:
45
Which point lies on line x = 5?
46
Distance between (0, 0) and \((x, 0)\):
47
Coordinates dividing (3, 3) and (9, 9) in ratio 1:2:
48
A point (a, 0) lies in:
49
A point (0, b) lies in:
50
The distance between \((x_1, y_1)\) and \((x_1, y_2)\) depends only on:
Share this Chapter

Found this helpful? Share this chapter with your friends and classmates.

WhatsApp Telegram X / Twitter Facebook LinkedIn

💡 Exam Tip: Share helpful notes with your study group. Teaching others is one of the fastest ways to reinforce your own understanding.

Frequently Asked Questions

Coordinate Geometry (Analytical Geometry) is the branch of mathematics that represents points, lines, and shapes using numerical coordinates on a plane.

The Cartesian plane is a two-dimensional plane formed by two perpendicular number lines: the x-axis and the y-axis.

Coordinates are ordered pairs (x, y) that represent the position of a point on the Cartesian plane.

The x-axis is the horizontal axis on the coordinate plane.

The y-axis is the vertical axis on the coordinate plane.

The origin (0, 0) is the point where the x-axis and y-axis intersect.

Abscissa is the x-coordinate of a point.

Ordinate is the y-coordinate of a point.

The plane is divided into four quadrants numbered counterclockwise starting from the top-right region.

Quadrant I (+,+), Quadrant II (-,+), Quadrant III (-,-), Quadrant IV (+,-).

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).

To find the distance between two points on the coordinate plane.

\( M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \).

It finds the exact center between two given points.

For a point dividing line segment in ratio m:n internally: ( P = \left(\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\right) ).

Recent Posts

    --:-- ⏱ Time
    ⚡ Progress 0 / 50 answered

    COORDINATE GEOMETRY – Learning Resources

    Detailed Notes
    True / False
    NCERT Solutions

    Get in Touch

    Let's Connect

    Questions, feedback, or suggestions?
    We'd love to hear from you.