CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A

Read and download free pdf of CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A. Students and teachers of Class 10 Mathematics can get free printable Worksheets for Class 10 Mathematics Chapter 7 Coordinate Geometry in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 10 students should practice questions and answers given here for Mathematics in Class 10 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 10 Mathematics Worksheets prepared by school teachers as per the latest NCERT, CBSE, KVS books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 10 Mathematics Chapter 7 Coordinate Geometry

Class 10 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 7 Coordinate Geometry in Class 10. This test paper with questions and answers for Class 10 will be very useful for exams and help you to score good marks

Class 10 Mathematics Worksheet for Chapter 7 Coordinate Geometry

Coordinate Geometry MCQ Questions with Answers Class 10 

Question- The points (k - 1, k + 2), (k, k + 1), (k + 1, k) are collinear for
(1) any value of k
(2) k = -1/2 only
(3) no value of k
(4) integral values of k only
Ans- 1
 
Question- The area of the triangle formed by the points (k, 2 - 2k), (- k + 1, 2k) and (- 4 - k, 6 - 2 k) is 70 units. For
(1) four real values of k
(2) no integral value of k
(3) two integral values of k
(4) only one integral value of k
Ans-4 
 
Question- The quadrilateral ABCD formed by the points A (0, 0), B (3, 4), C (7, 7) and D (4, 3) is a
(1) rectangle
(2) square
(3) rhombus
(4) parallelogram
Ans- 3
 
Question- The following points A(-1, 0), B(3,1), C(2,2) and D(-2,1) taken in order form a
(1) rectangle
(2) parallelogram
(3) square
(4) None
Ans- 2
 
Question- Find the value of k, if the distance between the points (1,4) and (k, 1) is 5.
(1) 3 or 5
(2) - 3 or 5
(3) 3 or - 5
(4) None
Ans- 2
 
Question- The mid points of the sides AB and AC of a triangle ABC are (2, -1) and (- 4, 7) respectively, then the length of BC is
(1) 10
(2) 20
(3) 25
(4) 30
Ans- 2
 
Question- The extremities of a diagonal of a parallelogram are the points (3, - 4) and (-6, 5). If third vertex is (-2, 1) then the coordinates of the fourth vertex are
(1) (1, 0)
(2) (0, 0)
(3) (1, 1)
(4) None
Ans- 4
 
Question- The number of lines that can be drawn through the point (4, - 5) at a distance 12 from the point (-2, 3) is
(1) 0
(2) 1
(3) 2
(4) Infinite
Ans- 1
 
Question- ABCD is a quadrilateral. P (3, 7) and Q (7, 3) are the middle points of the diagonals AC and BD respectively.The coordinates of the mean point (or the centre of mean position) of the vertices of the quadrilateral are
(1) (0, 0)
(2) (3, 3)
(3) (5, 5)
(4) (7, 7)
Ans- 3

Question- One diagonal of a square is the portion of the line 3x + 2y = 12 intercepted between the axes. The coordinates of the extremity of the other diagonals not lying in the first quadrant are

(1) (1, -1)
(2) (- 1, -1)
(3) (-1, 1)
(4) none of these
Ans- 3

Question- ABCD is a square in which A lies on the positive y-axis and B lies on the positive x-axis. If D is the point (12, 17), the coordinates of C are

(1) (17 , 12)
(2) (17 , 5)
(3) (14 , 16)
(4) (15, 3)
Ans-2 

Question- The points (0, 8/3), (1, 3) and (82, 30) are the vertices of

(1) obtuse angled triangle
(2) acute angled triangle
(3) right angled triangle
(4) none of these
Ans- 4

Question- A ray of light coming from the point (1, 2) is reflected at a point A on the axis of x and then passes through the point (5, 3). The coordinates of the point A are

(1) (5/13, 0)
(2) (-7, 0)(3)
(13/5, 0)
(4) (15, 0)
Ans-3 

Question- The centroid of a triangle lies at the origin and the coordinates of its two vertices are (- 8, 0) and (9, 11), the area of the triangle in sq. units is

(1) 11 / 8
(2) 8/11
(3) 88
(4) None
Ans-4 

Question- Line formed by joining (-1, 1) and (5,7) is divided by a line x + y = 4 in the ratio of

(1) 1 : 2
(2) 1 : 3
(3) 3 : 4
(4) 1 : 4
Ans- 1
 
Question- Which of the following is TRUE regarding the graphs of the equations of a linear quadratic sys- tem ?
(1) the graphs may intersect in two locations
(2) the graphs may intersect in one location
(3) the graphs may not intersect
(4) all three choice are true
Ans- 4
 
Question- The midpoints of sides of a triangle are (3, 4), (4,1) and (2, 0). Which of the following does not denote the co-ordinates of its vertices ?
(1) 1, 3
(2) 5, 3
(3) 5, 5
(4) 3, -3
Ans- 2
 
Question- The point which lies on the perpendicular bisector of the line sequence joining the points P(-2, 0) and Q(2, 5) is :-
(1) (0, 0)
(2) (0, 2)
(3) (2, 0)
(4) (-2, 0)
Ans-1 
 
Question- The centroid of a triangle formed by (7, p), (q, -6),(9, 10) is (6, 3), then (p, q) =
(1) (4, 5)
(2) (5, 4)
(3) (-5, -2)
(4) (5, 2)
Ans- 4

Question- Mid-points of the sides AB and AC of DABC are (3, 5) and (-3, -3) respectively, then the length of BC =

(1) 10
(2) 15
(3) 20
(4) 30
Ans- 3
 
Question- A postman walks towards North a distance of 120 m to deliver a letter. He then goes towards East for a distance of 50 m for delivering another letter. The shortest distance between the two places is
(1) 70 m
(2) 120 m
(3) 130 m
(4) 170 m
Ans-3 
 
 
Very Short Answer type Questions

Question. Find the value of y for which the distance between the points (2, - 3) and (10,y) is 10 units.
Answer : 
y = -9 or y = 3

Question. Find the distance of the point (- 4, -7) from the y -axis.
Answer : 
4 units

Question. If (2, p) is the midpoint of the line segment joining the points A (6, -5) and B (-2, 11), find the value of p.
Answer : 
p = 3

Question. If the centre and radius of circle is (3, 4) and 7 units respectively, then what is the position of the point AB with respect to circle.
Answer : 
Inside the circle

Question. Find the ratio in which the point (-3, k) divides the line-segment joining the points (-5, 4) and (-2, 3). Also find the value of k.
Answer : 
Ratio is 2 : 1 & k = 2/3

Question. Write the coordinates of a point on x-axis which is equidistant from the points (-3, 4) and (2, 5).
Answer : 
(2/5 , 0)

Question. To locate a point Q on line segment AB such that BQ = 5/7 × AB. What is the ratio of line segment in which AB is divided?
Answer : 
2 : 5

Question. If the distance between the points (4, k) and (1, 0) is 5, then what will be the possible values of k?
Answer : 
𝑘=±4

Question. Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5).
Answer : 
x - y = 2

Question. ABCD is a rectangle whose three vertices are B (4, 0), C (4, 3) and D (0, 3). Find the length of one of its diagonals
Answer : 
BD = 5

Please refer to attached file for CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A

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