Coordinate Geometry for SSC CGL: Attempt New Pattern Ques for Free

Coordinate geometry is one of the topics from quantitative aptitude that can be asked in the SSC CGL 2025 Tier 1 exam. The difficulty level of the questions can range from moderate to hard. SSC will rarely ask questions on this topic in the Tier 1 exam, but this time, SSC can ask questions on this topic in the exam. This blog has provided questions on coordinate geometry for SSC CGL based on the latest pattern, as Eduquity is asking. Along with that, we have explained coordinate geometry in depth and provided some free preparation resources. You are highly advised to go through this blog carefully and make your preparation strong for the exam.

What is Coordinate Geometry for SSC CGL?

Coordinate Geometry involves studying geometry using a coordinate system. It deals with points, lines, and shapes on the Cartesian Plane (X and Y axes).

In SSC CGL, the questions are usually conceptual and formula-based, requiring basic knowledge and quick application.

Key Concepts and Formulas

Here are the important concepts and formulas you must memorize:

1. Coordinate Axes

• X-axis: Horizontal line
• Y-axis: Vertical line
• The point of intersection is the origin (0, 0)

2. Distance Formula

To find the distance between two points
P(x₁, y₁) and Q(x₂, y₂):

3. Section Formula

a. Internal Division: If a point P divides the line joining A(x₁, y₁) and B(x₂, y₂) in the ratio m:n, then:

b. Mid-point Formula: Special case of the section formula where m = n = 1:

4. Centroid of a Triangle

If the triangle has vertices at A(x₁, y₁), B(x₂, y₂), and C(x₃, y₃), then its centroid is:

5. Slope of a Line

For a line passing through points A(x₁, y₁) and B(x₂, y₂):

6. Equation of a Line

a. Point-slope Form: If slope = m and it passes through point (x₁, y₁):

y-y₁ = m(x-x₁)

b. Two-point Form: If it passes through (x₁, y₁) and (x₂, y₂):

7. Collinearity of Points

Three points A, B, and C are collinear if the area of the triangle formed by them is zero, or if the slopes between AB and BC are equal.

Coordinate Geometry Questions for SSC CGL: Download Free PDF

Hope you have gone through the basic concept of coordinate geometry. Here, we have provided the coordinate geometry questions for SSC CGL and a PDF containing detailed solutions. You are strongly advised to first solve the questions from here and then download the PDF for free. While solving the questions, make sure to analyze the level of questions carefully and try to solve more questions based on that pattern.

Coordinate Geometry for SSC CGL Question 1:

A line 3y = 8x- 24 cuts X-axis and Y-axis at points A and B, respectively. Find the distance of the mid-point of AB from a point (3,4).

A) 1.5 units

B) 1 unit

C) 2.5 units

D) 3 units

Coordinate Geometry for SSC CGL Question 2:

Two lines A and B are perpendicular to each other, line A passes through the point (4,0) and line B passes through the point (0,6). If line A has slope of ‘m’ then find x-coordinate of the point where the two lines meet.

A) 

B) 

C) 

D) 

Coordinate Geometry for SSC CGL Question 3:

Two lines y = 3x+5 and 2y = x-c meet at a point A. Find the value of  c such that the value of X-coordinate is 3 times the value of Y-coordinate at A.

A) 8/5

B) -1/5

C) 1/2

D) -5/8

Coordinate Geometry for SSC CGL Question 4:

Find the line passing through the point (3, 6) and parallel to the line through the origin and point of intersection of 3x + y = 5 and x + 2y = 4.

A) 6y = 7x + 15

B) 6y = 3x + 27

C) 3y = 6x

D) 3y = 5x + 3

Coordinate Geometry for SSC CGL Question 5:

Find the area bounded by the graphs of: x + y = 6; 2x + y = 8; x ≥ 0

A) 2 sq. units

B) 3 sq. units

C) 4 sq. units

D) 6 sq. units

Coordinate Geometry for SSC CGL Question 6:

A point R divides the line joining the points S (5, 2) and T (11, 8) in the ratio 1:5 internally. Find the ratio in which it divides the line joining P (4, 1) and Q (9, 6).

A) 2:3

B) 6:1

C) 4:5

D) 1:2

Coordinate Geometry for SSC CGL Question 7:

The co-ordinates of the vertices of a triangle ABC are A (0, 2), B (5, 14) and C (20, 14). Find the ratio of AB: BC.

A) 21:37

B) 10:23

C) 13:15

D) 32:25

Coordinate Geometry for SSC CGL Question 8:

The coordinates of vertices of a triangle are (2, 3), (5, 7) and (8, 3). It is a (an)

A) Scalene triangle

B) Isosceles triangle

C) Equilateral triangle

D) Right-angled triangle

Coordinate Geometry for SSC CGL Question 9:

A circle is made with centre on line y = x and area 16π cm², such that both the X and Y axis is tangent to the circle. Find the co-ordinate of the mid-point of the line joining the two intercepts of the circle. 

A) (0,0)

B) (0,2)

C) (2,0)

D) (2,2)

Coordinate Geometry for SSC CGL Question 10:

Triangle ABC has A (2, 3) as a vertex and E (3, 2) as a midpoint of the side AC. If the abscissa of B is 1 unit less than the abscissa of C and its ordinate is 8 times the ordinate of C, find the coordinates of the centroid of triangle ABC.

A) (3, 4)

B) (4, 6)

C) (2, 2)

D) None of these

Tips to Solve Coordinate Geometry for SSC CGL

Here we have provided the tips so that you can solve coordinate geometry questions easily while attempting the exam. Go through these tips carefully and improve your problem-solving skills.

• Visualize the Cartesian Plane: The Cartesian Plane is a graph with two number lines intersecting at right angles: X-axis (horizontal), Y-axis (vertical). Points are represented as (x, y).
• Memorize all key formulas: SSC will not ask questions that are based on derivation. They will ask for a numerical problem for which you need to apply the formulas and solve it. So learn and remember formulas as much as possible.
• Be careful with signs: Most aspirants lose their marks because they don’t use the right signs. They make mistakes in identifying the quadrants, subtracting coordinates, which formula to implement, etc.
• Practice previous year questions: Coordinate geometry is a vast topic, and preparing the entire topic will be difficult, so you are advised to solve previous year question papers. So that you can know the types of questions SSC can ask in the exam.
• Avoid silly mistakes: Questions of coordinate geometry are straightforward, but most candidates make silly mistakes due to which affects their marks and time. So, you are advised to solve questions very carefully and try to avoid silly mistakes.

Additional Resources for SSC CGL 2025 Exam Preparation

Just don’t focus only on solving the coordinate geometry questions. You are strongly advised to focus on other topics also. Here, we have provided some free preparation resources that will help you in your revision and exam preparation. You are strongly advised to attempt these resources by making a plan so that you can use these resources systematically and effectively.

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FAQs: Coordinate Geometry for SSC CGL

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