# CBSE Class 10 Mathematics MCQs: Coordinate Geometry

Chapter 7 Coordinate Geometry MCQs cover all the basic to advance concepts. All the MCQs with answers are framed based on the latest CBSE syllabus and guidelines. The MCQ questions give you an insight into what type of questions can come in the CBSE exam and also make students well-knowledgeable about the tips and tricks to answer the questions.Regular practice will definitely earn you success. Well-understood Chapter 7 Coordinate Geometry concepts and practice of MCQs are required to secure higher marks in the board exam. These Coordinate Geometry MCQs also help students to boost morale, improve time management skills and bring more precision to answering the questions in the exam.

## Maths Class 10 Chapter 7 Coordinate Geometry MCQs

**1. The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is**

A. 3

B. 2

C. 1

D. -1

**Answer: D**

**2. The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is**

A. 63

B. 35

C. 53

D. 36

**Answer: C**

**3. The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is**

A. 11

B. 22

C. 33

D. 21

**Answer: A**

**4. The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are**

A. (3, 3)

B. (- 3, 3)

C. (3, – 3)

D. (-3,-3)

**Answer: B**

**5. The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio**

A. 3 : 4

B. 3 : 2

C. 2 : 3

D. 4 : 3

**Answer: A**

**6. If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is**

A. 12

B. -6

C. -12

D. -4

**Answer: C**

**7. The points (1,1), (-2, 7) and (3, -3) are**

A. vertices of an equilateral triangle

B. collinear

C. vertices of an isosceles triangle

D. none of these

**Answer: B**

**8. Two vertices of a triangle are (3, – 5) and (- 7,4). If its centroid is (2, -1), then the third vertex is**

A. (10, 2)

B. (-10,2)

C. (10,-2)

D. (-10,-2)

**Answer: C**

**9. If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then**

A. 2a = b

B. a = -b

C. a = 2b

D. a = b

**Answer: A**

**10. The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is**

A. (4, 6)

B. (16, 6)

C. (8, 6)

D. (16/3, 6)

**Answer: D**

**11. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is**

A. -7 or -1

B. -7 or 1

C. 7 or 1

D. 7 or -1

**Answer: D**

**12. The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is**

A. 0

B. 1

C. 2

D. 3/2

**Answer: A**

**13. The distance of the point P(2, 3) from the x-axis is**

A. 2

B. 3

C. 1

D. 5

**Answer: B**

**14. The distance between the points A(0, 6) and B(0, -2) is**

A. 6

B. 8

C. 4

D. 2

**Answer: B**

**15. The distance of the point P(-6, 8) from the origin is**

A. 8

B. 2√7

C. 10

D. 6

**Answer: C**

**16. The distance between the points (0, 5) and (-5, 0) is**

A. 5

B. 5√2

C. 2√5

D. 10

**Answer: B**

**17. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is**

A. 5

B. 12

C. 11

D. 7 + √5

**Answer: B**

**18. The points (-4, 0), (4, 0), (0, 3) are the vertices of a**

A. Right triangle

B. Isosceles triangle

C. Equilateral triangle

D. Scalene triangle

**Answer: B**

**19. The point which divides the lines segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the**

A. I quadrant

B. II quadrant

C. III quadrant

D. IV quadrant

**Answer: D**

**20. The point which lies on the perpendicular bisector of the line segment joining the points A(-2, -5) and B(2, 5) is**

A. (0, 0)

B. (0, 2)

C. (2, 0)

D. (-2, 0)

**Answer: A**

**21. The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is**

A. (0, 1)

B. (0, -1)

C. (-1, 0)

D. (1, 0)

**Answer: B**

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