# Coordinate Geometry Practice Questions

Coordinate geometry is a topic from which you could expect from one to two questions in the XAT and the TANCET exams. Concepts covered include finding length of a line segment, finding slope of a line, framing equation of a line, finding the quadrants through which a line passes, intercepts of a line with the x and y axes, equation of a circle, area of a triangle, and coordinates of mid point of line segment.

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.

- 15 and 30
- 15 and 40
- 17 and 30
- 17 and 40
- Multiple solution are possible

**Choice D**The lengths of the diagonals are 17 and 40. Correct answer- Explanatory answer
- Parallelogram diagonals
- Easy
- XAT 2015

The equations of four lines are given: x + 2y - 3 = 0, 3x + 4y - 7 = 0, 2x + 3y - 4 = 0 and 4x + 5y - 6 = 0. What can be said about the four lines?

- Concurrent
- Form sides of a parallelogram
- Form sides of a square
- None of these

**Choice (4)**None of these. Correct answer- Explanatory answer
- Properties of lines
- Medium

Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?

- Square
- Rectangle but not a square
- Rhombus
- Parallelogram but not a rhombus

**Choice (3)**The quadrilateral is a rhombus. Correct answer- Explanatory answer
- Properties of quadrilaterals
- Easy

A and B are two points with the co-ordinates (-2, 0) and (0, 5). What is the length of the diagonal AC if AB form one of the sides of the square ABCD?

- \\sqrt{29}\\)
- \\sqrt{58}\\)
- \\sqrt{116}\\)
- \2\sqrt{29}\\)

Find the area of the triangle whose vertices are (-6, -2), (-4, -6), (-2, 5).

- 36 sq units
- 18 sq units
- 15 sq units
- 30 sq units

**Choice (3)**The area of the triangle is 15 sq units. Correct answer- Explanatory answer
- Area of triangles
- Easy

Find the equation of a line whose intercepts are twice of the line 3x – 2y – 12 = 0.

- 3x – 2y = 24
- 2x – 3y = 12
- 2x – 3y = 24
- None of these

**Choice (1)**The equation of the second line is 3x – 2y = 24. Correct answer- Explanatory answer
- Equation and intercepts of line
- Easy

Find the coordinates of the point which divides the line joining (5, -2) and (9, 6) internally in the ratio 1 : 3.

- (6, 0)
- (6, 3)
- (0, 6)
- (3, 6)

**Choice (1)**The coordinates of the point are (6, 0). Correct answer- Explanatory answer
- Point dividing a line segment
- Easy

## XAT TANCET Practice Questions - Listed Topic wise

- Number Theory
- Permutation Combination
- Probability
- Inequalities
- Geometry
- Coordinate Geometry
- Mensuration
- Trigonometry
- Data Sufficiency
- Percentages
- Profit Loss
- Ratio Proportion
- Mixtures & Alligation
- Speed Distance & Time
- Pipes, Cisterns & Work, Time
- Simple & Compound Interest
- Races
- Averages & Statistics
- Progressions : AP, GP & HP
- Set Theory
- Clocks Calendars
- Linear & Quadratic Equations
- Functions
- English Grammar
- General Awareness