CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B

Read and download free pdf of CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B. 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 teachers as per the latest Mathematics 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

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. The distance of a point from the origin is
(a) x2 + y2
(b) x2 – y2
(c) √x2 + y2
(d) None of these
Answer : C

Question. The distance between the points (3, –2) and (–3, 2) is
(a) √52 units
(b) 4√10 units
(c) 2√10 units
(d) 40 units
Answer : C

Question. If points (a, 0), (0, b) and (1, 1) are collinear, then the value of 1/a + 1/b is
(a) 1
(b) 2
(c) 5
(d) 9
Answer : A

Question. If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?
(a) k = 4
(b) k = –4
(c) k = ± 4
(d) None of these
Answer : C

Question. The distance of the point P (3, –4) from the origin is
(a) 7 units
(b) 5 units
(c) 4 units
(d) 3 units
Answer : B

Question. The distance between the points - (5/8, 2) and (2/5, 2) is
(a) 0 units
(b) 1 unit
(c) 2 units
(d) 5 units
Answer : C

Question. The perpendicular distance of A(5, 12) from the y-axis is
(a) 4
(b) 5
(c) 7
(d) 8
Answer : B

Question. The points (a, a), (–a, –a) and (−√3a, √3a) are the vertices of a/an
(a) Equilateral triangle
(b) Isosceles triangle
(c) Scalene triangle
(d) None of these
Answer : A

Question. If the distance of P(x, y) from A(5, 1) and B(–1, 5) are equal, then 3x equals
(a) y
(b) y/2
(c) 2y
(d) 2/y
Answer : C

Question. If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), the value of p is
(a) 5 units
(b) 8 units
(c) √10 units
(d) None of these
Answer : C

Question. The value(s) of x, if the distance between the points A(0, 0) and B(x, – 4) is 5 units, is
(a) ± 2
(b) ± 3
(c) ± 4
(d) ± 5
Answer : B

Question. The distance between (√2 + 1, 2) and (1, 2 − √2) is
(a) 2
(b) 3
(c) 11
(d) 17
Answer : A

Question. The value of k for which the point (0, 2) is equidistant from two points (3, k) and (k, 5) is
(a) 1
(b) 2
(c) 5
(d) 9
Answer : A

Question. Points A(2, –1), B(3, 4), C(–2, 3), D(–3, –2) are the vertices of a:
(a) Rectangle
(b) Square
(c) Rhombus
(d) None of these
Answer : C

Question. The value(s) of y, if the distance between the points (2, y) and (– 4, 3) is 10, is
(a) 11
(b) –5
(c) Both (a) and (b)
(d) None of these
Answer : C

Question. The point on x-axis which is equidistant from the points (2, –2) and (–4, 2) is
(a) (1, 0)
(b) (2, 0)
(c) (0, 2)
(d) (–1, 0)
Answer : A

B. Assertion-Reason Type Questions

In the following questions, a statement of assertion (A) is followed by a statement of 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 (0, 4) lies on y-axis.
Reason (R): The x-coordinate on the point on y-axis is zero.
Answer : A

Question. Assertion (A): The value of y is 6, for which the distance between the points P(2, –3) and Q(10, y) is 10.
Reason (R): Distance between two given points A (x1, y1) and B (x2, y2) is given by

""CBSE-Class-10-Mathematics-Coordinate-Geometry-Worksheet-Set-B

Answer : D

Case Study Based Questions

I. Class X students of a secondary school in Krishnagar have been allotted a rectangular plot of a land for gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1m from each other. There is a triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.

""CBSE-Class-10-Mathematics-Coordinate-Geometry-Worksheet-Set-B-1

Considering A as origin, answer question (1) to (5).

Question. Considering A as the origin, what are the coordinates of A?
(a) (0, 1)
(b) (1, 0)
(c) (0, 0)
(d) (–1, –1)
Answer : C

Question. What are the coordinates of P?
(a) (4, 6)
(b) (6, 4)
(c) (4, 5)
(d) (5, 4)
Answer : A

Question. What are the coordinates of R?
(a) (6, 5)
(b) (5, 6)
(c) (6, 0)
(d) (7, 4)
Answer :A

Question. What are the coordinates of D?
(a) (16, 0)
(b) (0, 0)
(c) (0, 16)
(d) (16, 1)
Answer : A

Question. What are the coordinates of P if D is taken as the origin?
(a) (12, 2)
(b) (–12, 6)
(c) (12, 3)
(d) (6, 10)
Answer : B
 

II.

""CBSE-Class-10-Mathematics-Coordinate-Geometry-Worksheet-Set-B-2

In a classroom, 4 friends have decided to seat at the points A, B, C and D as shown in fig. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli some questions which are as follows:

Question. What is the coordinates of A and B?
(a) A(3, 4), B(6, 7)
(b) A(4, 3), B(7, 6)
(c) A(–3, –4), B(–6, –7)
(d) A(–3, –4), B(–6, –7)
Answer : A

Question. What is the coordinate of C and D?
(a) C(4, 9), D(1, 6)
(b) C(9, 4), D(6, 1)
(c) C(–9, –4), D(–6, –1)
(d) C(9, –4), D(6, –1)
Answer : B

Question. What is the distance between AB?
(a) 2
(b) 3
(c) 2 3
(d) 3 2
Answer : D

Question. What is the distance between AC?
(a) 6
(b) 4
(c) 8
(d) 10
Answer : A

Question. What is the distance between BD?
(a) 4
(b) 6
(c) 8
(d) 10
Answer : B

 

Please refer to attached file for CBSE Class 10 Mathematics Worksheet - Coordinate Geometry (2)

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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