Coordinate GeometryXAT Previous-Year Questions

4 previous-year questions on Coordinate Geometry from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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4 questions

Coordinate Geometry · XAT PYQs

XAT 2023 · QA & DI
Q1.

ABC is a triangle and the coordinates of A, B and C are (a, b - 2c), (a, b + 4c) and (-2a, 3c) respectively where a, b and c are positive numbers. The area of the triangle ABC is:

XAT 2023 · QA & DI
Q2.

ABC is a triangle with BC = 5. D is thefoot of the perpendicular from A on BC. E is a point on CD such that BE = 3. 

The value of AB2 - AE2 + 6CD is:

XAT 2019 · QA & DI
Q3.

Let P be the point of intersection of the lines 3x + 4y = 2a and 7x + 2y = 2018 and Q the point of intersection of the lines 3x + 4y = 2018 and 5x + 3y = 1. If the line through P and Q has slope 2, the value of a is:

XAT 2015 · QA & DI
Q4.

Two diagonals of a parallelogram intersect each other at coordinates (17.5, 23.5). Two adjacent points of the parallelogram are (5.5, 7.5) and (13.5, 16). Find the lengths of the diagonals.