CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A

Coordinate Geometry MCQ Questions with Answers Class 10 

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

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

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

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

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

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

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

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