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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
Question. The point on the x-axis which is equidistant from (– 4, 0) and (10, 0) is:
(a) (7, 0)
(b) (5, 0)
(c) (0, 0)
(d) (3, 0)
Answer : D
Question. The centre of a circle whose end points of a diameter are (– 6, 3) and (6, 4) are:
(a) (8, – 1)
(b) (4, 7)
(c) (0, 2/7)
(d) (4, 2/7)
Answer : C
Question. The distance between the points (m, – n) and (– m, n) is:
(a) √m2 +n2
(b) m + n
(c) 2 √m2 + n2
(d) √2m2 + 2n2
Answer : C
Question. The point which divides the line segment joining the points (7, –6) and (3, 4) in the ratio 1:2 internally, lies in the:
(a) I quadrant
(b) II quadrant
(c) III quadrant
(d) IV quadrant
Answer : D
Question. The distance between the points (a cos θ + b sin θ, 0) and (0, a sin θ – b cos θ), is
(a) a2 + b2
(b) a2 – b2
(c) √a2 + b2
(d) √a2 – b2
Answer : C
Question. The point which lies on the perpendicular bisector of the line segment joining point A (–2, –5) and B (2, 5) is:
(a) (0, 0)
(b) (0, –1)
(c) (–1, 0)
(d) (1, 0)
Answer : A
Question. 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
Question. If the point P(k, 0) divides the line segment joining the points A(2, –2) and B(–7, 4) in the ratio 1 : 2, then the value of k is
(a) 1
(b) 2
(c) –2
(d) –1
Answer : D
Question. The distance of the point p(-3, -4) from the x-axis (in units) is:
(a) 3
(b) –3
(c) 4
(d) 5
Answer : C
Question. If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then:
(a) AP = 1/3 AB
(b) AP = PB
(c) PB = 1/3 AB
(d) AP = 1/2 AB
Answer : D
Question. If A , (m/3, 5) is the mid-point of the line segment joining the points Q(–6, 7) and R(–2, 3), then the value of m is:
(a) -12
(b) -4
(c) 12
(d) -6
Answer : A
Question. The perimeter of a triangle ABC with vertices A (0, 4), B (0, 0) and C (3, 0) is:
(a) 5 units
(b) 11 units
(c) 12 units
(d) (7 + 5) units
Answer : C
Question. If P (a/3, 4) is the midpoint of the line segment joining the points Q(–6, 5) and R(–2, 3), then the value of a is:
(a) –4
(b) –12
(c) 12
(d) –6
Answer : B
Question. The perpendicular bisector of the line segment joining the points A(1, 5) and B(4, 6) cuts the y-axis at:
(a) (0, 13)
(b) (0, –13)
(c) (0, 12)
(d) (13, 0)
Answer : A
Question. The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is:
(a) (x, y)
(b) (y, x)
(c) (x/2, y/2)
(d) (y/2, x/2)
Answer : A
Question. A circle drawn with origin as the centre passes through (13/2, 0) The point which does not lie in the interior of the circle is:
(a) (-3/4, 1)
(b) (2, 7/3)
(c) (5, 1/2)
(d) (-6, 5/2)
Answer : D
Fill in the Blanks
Fill in the blanks/tables with suitable information:
Question. AOBC is a rectangle whose three vertices are A(0, –3), O(0, 0) and B(4, 0). The length of its diagonal is .............................. .
Answer : 5
Question. The centroid of the triangle whose vertices are (4, – 8), (– 9, 7) and (8, 13) is .............................. .
Answer : (1, 4)
Question. The ratio in which x-axis divides the line segment joining the point (2, 3) and (4, – 8) is .............................. .
Answer : 3.8
Question. The mid-point of the line segment AB is (4, 0).
If the co-ordinates of point A is (3,–2), then coordinates of point B is .............................. .
Answer : B (3, 2)
Question. Distance of a point (–24, 7) from the origin (in units) is .............................. .
Answer : 25 units
Question. If P(–1, 1) is the mid-point of the line segment joining the points A(–3, b) and B(1, b + 4) then b = ...............................
Answer : –1
Write True or False
Question. ΔABC with vertices A(–2, 0), B(2, 0) and C(0, 2) is similar to DDEF with vertices D(–4, 0), E(4, 0) and F(0, 4).
Answer : True.
Question. Point P (–4, 2) lies on the line segment joining the points A (–4, 6) and B (–4, –6).
Answer : True.
Question. Points A(4, 3), B(6, 4), C(5, –6) and D(–3, 5) are the vertices of a parallelogram.
Answer : False.
Question. Point P(5, –3) is one of the two points of trisection of the line segment joining points A(7, –2) and B(1, –5).
Answer : True.
Question. Point P(–2, 4) lies on a circle of radius 6 and centre C(3, 5). [CBSE 2014, 13]
Answer : False.
Question. The points A (–1, –2), B (4, 3), C (2, 5) and D (–3, 0) in that order from a rectangle.
Answer : True.
Please click the link below to download CBSE Class 10 Mathematics Worksheet - Coordinate Geometry (8)
CBSE Class 10 Mathematics Surface Area And Volume Worksheet |
Worksheet for CBSE Mathematics Class 10 Chapter 7 Coordinate Geometry
We hope students liked the above worksheet for Chapter 7 Coordinate Geometry designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 10 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Expert teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. We have also provided a lot of MCQ questions for Class 10 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter.
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