CAT Coordinate Geometry questions with solutions
Lines, circles and points in the plane. 29 questions from our 2016–2025 CAT pattern papers. Each has the answer and a full solution.
CAT 2025
CAT 2024
CAT 2023
CAT 2022
CAT 2021
CAT 2020
- What is the area (in square units) of the triangle formed by the lines y = 2x, x + y = 12 and the x-axis?
- What is the area of the triangle formed by the lines x + y = 6, x − y = 2 and the y-axis?
- Consider the triangle with vertices (0, 0), (12, 0) and (0, 9). How many points with both coordinates integers lie strictly in its interior?
- What is the area of the triangle enclosed by the lines y = 2x, x + y = 9 and the x-axis?
CAT 2019
CAT 2018
CAT 2017
- How many points with both coordinates integers lie strictly inside the triangle with vertices (0, 0), (10, 0) and (0, 10)?
- Find the perpendicular distance between the parallel lines 8x + 6y = 20 and 4x + 3y + 9 = 0.
- What is the area of the triangle whose vertices are (1, 2), (4, 6) and (7, −1)?
- What is the distance between the parallel lines 6x + 8y = 24 and 3x + 4y − 2 = 0?
CAT 2016
- What is the area (in square units) of the triangle with vertices (1, 2), (5, 6) and (7, −2)?
- How many points with both coordinates integers lie strictly inside the triangle whose vertices are (0, 0), (10, 0) and (0, 10)?
- What is the area of the triangle with vertices (1, 2), (4, 6) and (7, −1)?
- What is the distance between the parallel lines 3x + 4y = 12 and 6x + 8y + 11 = 0?
- E is the midpoint of AB and F is the midpoint of BC. The segments DE and AF intersect at G. What is the area of triangle ADG (in cm²)?
Other Quant topics
Time, Speed and Distance 38Time and Work 23Pipes and Cisterns 11Simple and Compound Interest 33Profit, Loss and Discount 42Mixtures and Alligation 35Ratio and Partnership 17Percentages 30Averages 19Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Progressions 29Remainders and Divisibility 15Number System 19Triangles 24Circles 18Polygons and Quadrilaterals 12Mensuration 13