Read and download free pdf of CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 7 Coordinate Geometry Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

## Chapter 7 Coordinate Geometry Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

### Class 10 Mathematics Chapter 7 Coordinate Geometry Worksheet Pdf

**Choose the correct answer from the given options:**

**Question****. 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**

**Question****. The point which divides the line segment joining the points A(0, 5) and B(5, 0) internally in the ratio 2 : 3 is**

(a) (2, 3)

(b) (3, 4)

(c) (–2, 3)

(d) (3, –5)

**Answer : A**

**Question****. The ratio in which the y-axis divides the line segment joining the points (5, –6) and (–1, –4) is**

(a) 1 : 5

(b) 5 : 1

(c) 1 : 7

(d) 7 : 1

**Answer : B**

**Question****. If A(1, 2), B(4, 3) and C(6, 6) are three vertices of parallelogram ABCD, coordinates of D are**

(a) (3, 5)

(b) (2, 7)

(c) (4, 9)

(d) (3, 8)

**Answer : A**

**Question****. P(–2, 5) and Q(3, 2) are two points. The coordinates of the point R on PQ such that PR = 2QR are**

(a) R(4/3, 3)

(b) R(2/3, 5)

(c) R(1/3, 7)

(d) None of these

**Answer : A**

**Question****. The coordinates of a point A, where AB is a diameter of the circle with centre (–2, 2) and B is the point with coordinates (3, 4) are**

(a) A(7, 0)

(b) A(5, 0)

(c) A(–5, 0)

(d) A(–7, 0)

**Answer : D**

**Question****. The mid-point of the line segment joining the points (–5, 7) and (–1, 3) is**

(a) (–3, 7)

(b) (–3, 5)

(c) (–1, 5)

(d) (5, –3)

**Answer : B**

**Question****. The value of a, for which point P (a/3, 2) is the mid-point of the line segment joining the points ****Q(–5, 4) and R(–1, 0) is**

(a) –5

(b) –7

(c) –9

(d) –11

**Answer : C**

**Question****. The coordinates of the point which divides the line segment joining the points (4, –3) and (8, 5) in the ratio 3 : 1 internally are**

(a) P(4, 3)

(b) P(7, 3)

(c) P(3, 5)

(d) P(7, 3)

**Answer : D**

**Question****. If the point P(m, 3) lies on the line segment joining the points A − (2/5, 6) and B(2, 8), the value of m is**

(a) 3

(b) 2

(c) –3

(d) –4

**Answer : D**

**Question****. If (3, –6) is the mid-point of the line segment joining (0, 0) and (x, y), then the point (x, y) is**

(a) (–3, 6)

(b) (6, –6)

(c) (6, –12)

(d) (3/2, 3)

**Answer : C**

**Question****. If the point C(–1, 2) divides internally the line segment joining A(2, 5) and B in ratio 3 : 4, the coordinates** **of B are**

(a) B(5, 2)

(b) B(–5, –2)

(c) B(–7, 2)

(d) B(7, –2)

**Answer : B**

**Question****. The ratio in which the line segment joining the points (6, 4) and (1, –7) is divided by x-axis is**

(a) 4 : 7

(b) 4 : 5

(c) 4 : 9

(d) 4 : 11

**Answer : A**

**Question****. The coordinates of the point P which divides the join of A(–2, 5) and B(3, –5) in the ratio 2 : 3 are**

(a) (1, 0)

(b) (2, 0)

(c) (3, 0)

(d) (0, 1)

**Answer : D**

**Question****. The centre of a circle is (2a, a – 7). The value of a if the circle passes through the point (11, –9) and has diameter 10√2 units is**

(a) a = 3 or 6

(b) a = 5 or 3

(c) a = 7 or 4

(d) None of these

**Answer : B**

**Question****. The value(s) of x for which the distance between the points P(x, 4) and Q(9, 10) is 10 units, is**

(a) 15 or 2

(b) 10 or 9

(c) 17 or 1

(d) None of these

**Answer : C**

**Assertion-Reason Type Questions**

**In the following questions, a statement of assertion (A) is followed by a statement reason (R). Choose ****the correct choice as:**

(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

(c) Assertion (A) is true but reason (R) is false.

(d) Assertion (A) is false but reason (R) is true.

**Question****. Assertion (A): The point (–1, 6) divides the line segment joining the points (–3, 10) and (6, –8) in the ratio 2 : 7 internally.**

**Reason (R): Given three points, i.e. A, B, C form an equilateral triangle, then AB = BC = AC.**

**Answer : B**

**Question****. Assertion (A): Mid-point of a line segment divides line in the ratio 1 : 1.**

**Reason (R): The ratio in which the point (–3, k) divides the line segment joining the points (–5, 4) ****and (–2, 3) is 1 : 2.
Answer : C**

**Very Short Answer type Questions**

**Question****. If the point A(0, 2) is equidistant from the points B( 3, p) and C(p, 5), find the value of p. Also, find the length of AB.
Answer : **p = 1, AB = 10 units

**Question****. Find the ratio in which the line segment joining the points (– 3, 10) and (6, – 8) is divided by (– 1, 6).
Answer : **2 : 7

**Question****. Find the relation between x and y such that the point P(x, y) is equidistant from the points A(1, 4) and B(−1, 2).
Answer :** y = 3 − x

**Question****. Find the point on the x-axis which is equidistant from (2, –5) and (–2, 9).
Answer : **(– 7, 0)

**Question****. Find the ratio in which the line segment joining A(1, – 5) and B(– 4, 5) is divided by the x-axis. Also find the coordinates of the point of division.
Answer : **1 : 1 ; (- 2/3, 0)

**Question****. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.
Answer : **x = 6, y = 3

**Question****. Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle.
Answer : **Yes

**Short Answer type Questions**

**Question**

**. Draw a trapezium ABCD in which vertices A, B, C and D are (4, 6), (–2, 3), (–2, –5) and (4, –7) respectively.**

**Answer :**Plot the point A taking its abscissa as 4 and ordinate as 6.

**Question**

**. Find the coordinates of the centroid of a triangle whose vertices are (–1, 0), (5, –2) and (8, 2).**

**Answer :**We know that the coordinates of the centroid of a triangle whose angular points are (x

_{1}, y

_{1}), (x

_{2}, y

_{2}), (x

_{3}, y

_{3}) are

_{1}x

_{2}x

_{3}/3 , y

_{1}y

_{2}y

_{3}/3)

**Please click on below link to download CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C**

CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |

CBSE Class 10 Maths Probabilty Worksheet |

## More Study Material

### CBSE Class 10 Mathematics Chapter 7 Coordinate Geometry Worksheet

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