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: