NCERT Exemplar Solution for CBSE Class 10 Mathematics: Coordinate Geometry (Part-IA)

Here you get the CBSE Class 10 Mathematics chapter 7, Coordinate Geometry: NCERT Exemplar Problems and Solutions (Part-IA). This part of the chapter includes solutions of Question Number 1 to 9 from Exercise 7.1 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Coordinate Geometry. This exercise comprises only the Multiple Choice Questions (MCQs) framed from various important topics in the chapter. Each question is provided with a detailed solution.

CBSE Class 10 Mathematics Syllabus 2017-2018

NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.

Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Coordinate Geometry:

Exercise 7.1

Multiple Choice Questions (Q. No. 1-9)

Question. 1 The distance of the point P (2, 3) from the x-axis is

(a) 2    

(b) 3    

(c) 1    

(d) 5

Answer. (b)   

Explanation:

Suppose P (a, b) is any point on the cartesian plane in first quadrant as shown below:

Then,

• a is the perpendicular distance from the y-axis

• b is the perpendicular distance from the x-axis

So, distance of the point P (2, 3) from the x-axis = 3

Distance of the point P (2, 3) from the y-axis = 2.

Question. 2 The distance between the points A (0, 6) and B (0, ‒2) is

(a) 6

(b) 8

(c) 4

(d) 2

Answer. (b)   

Explanation:

Question. 3 The distance of the point P (‒6, 8) from the origin is

Question. 4 The distance between the points (0, 5) and (-5, 0) is

(a) 5

(b)

(c)            

(d) 10

Answer. (b)   

Explanation:

Question. 5 If AOBC is a rectangle whose three vertices are A (0, 3), O (0, 0) and B (5, 0), then the length of its diagonal is

Answer. (c)

Explanation:

Question. 6 The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

Answer. (b)   

Explanation:

Distance between A (0, 4) and O (0, 0) + Distance between O (0, 0) and B (3, 0) + Distance between A (0, 4) and B (3, 0) = 3 + 4 + 5 = 12.

Question. 7 The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is

(a) 14

(b) 28

(c) 8

(d) 6

Answer. (c)    

Explanation:

Question. 8 The points (−4, 0), (4, 0) and (0, 3) are the vertices of a

(a) right angled triangle

(b) isosceles triangle

(c) equilateral triangle

(d) scalene triangle

Answer. (b)   

Explanation:

Question. 9 The point which divides the line 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)   

Explanation:

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