# Coordinate Geometry Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Coordinate Geometry Question and Answer Set 1**. It will help you to practice the questions on the topics of maths as coordinate geometry based questions of algebra.

**Coordinate Geometry Question and Answer Set 1: Ques No 1**

The coordinates of the point which will divide the line joining the points (3, 5) and (11, 8) externally in the ratio 5 : 2 is

**Options:**

A. (5/3, 1/3)

B. (3/49, 1/10)

C. (49/3, 10)

D. None of these

**Answer: C**

**Coordinate Geometry Question and Answer Set 1: Ques No 2**

In a triangle ABC, if A = (-2, 3), B = (6, 7) and C = (4, 1), then the co-ordinates of the point of intersection of the medians of triangle ABC is

**Options:**

A. (5/3, 1/3)

B. (3/8, 3/11)

C. (8/3, 11/3)

D. (5/3, 17/3)

**Answer: C**

**Coordinate Geometry Question and Answer Set 1: Ques No 3**

The three vertices of a triangle are (41,0) , (0,41) and (0,0), each vertex being represented by its (X,Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is

**Options:**

A. 312

B. 780

C. 835

D. 428

**Answer: B**

**Coordinate Geometry Question and Answer Set 1: Ques No 4**

The three vertices of a triangle are (5k, 2k), (7k, 0) and (5k, 0), each vertex being represented by its (X,Y) coordinates (k is a positive integer). If the area of the triangle is 72 sq. unit, then the value of k is

**Options:**

A. 6

B. 3

C. 9

D. 12

**Answer: A**

**Coordinate Geometry Question and Answer Set 1: Ques No 5**

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

**Options:**

A. Square

B. Rectangle but not Square

C. Parallelogram but not Rhombus

D. Rhombus

**Answer: D**

**Coordinate Geometry Question and Answer Set 1: Ques No 6**

In the figure, OABC is a parallelogram. The area of parallelogram is 21 sq unit and the point C lies on line x = 3. The coordinate of B is

**Options:**

A. (3, 10)

B. (10, 3)

C. (10, 10)

D. (8, 3)

**Answer: B**