Unit Test: Coordinate Geometry | Mathematics (Maths) Class 10 PDF Download

Time: 1 hour

M.M. 30

Attempt all questions.

• Question numbers 1 to 5 carry 1 mark each.
• Question numbers 6 to 8 carry 2 marks each.
• Question numbers 9 to 11 carry 3 marks each.
• Question number 12 & 13 carry 5 marks each.

Q1: If the distance between the points A(2, -2) and B(-1, x) is equal to 5, then the value of x is: (1 Mark)
(a) 2
(b) -2
(c) 1
(d) -1

Q2: The midpoint of a line segment joining two points A(2, 4) and B(-2, -4) is (1 Mark)
(a) (-2, 4)
(b) (2, -4)
(c) (0, 0)
(d) (-2, -4)

Q3: The distance of point A(2, 4) from the x-axis is _______________________________. (1 Mark)

Q4: If O(p/3, 4) is the midpoint of the line segment joining the points P(-6, 5) and Q(-2, 3), the  the value of p is: (1 Mark)
(a) 7/2
(b) -12
(c) 4
(d) -4

Q5: The ratio in which the line segment joining the points P(-3, 10) and Q(6, –8) is divided by O(-1, 6) is: (1 Mark)
(a) 1:3
(b) 3:4
(c) 2:7
(d) 2:5

Q6: Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5). (2 Marks)

Q7: The point A(3, y) is equidistant from the points P(6, 5) and Q(0, -3). Find the value of y. (2 Marks)

Q8: Name the type of triangle formed by the points A (–5, 6), B (–4, –2) and C (7, 5). (2 Marks)

Q9: Three vertices of a parallelogram taken in order are (-1, 0), (3, 1) and (2, 2) respectively. Find the coordinates of fourth vertex. (3 Marks)

Q10: If the point P(k – 1, 2) is equidistant from the points A(3, k) and B(k, 5), find the values of k. (3 Marks)

Q11: Prove that the points A(0, -1), B(-2, 3), C(6, 7) and D(8, 3) are the vertices of a rectangle ABCD. (3 Marks)

Q12: Find the ratio in which the line x – 3y = 0 divides the line segment joining the points (-2, -5) and (6, 3). Find the coordinates of the point of intersection. (5 Marks)

Q13: Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, -3). Hence, find m. (5 Marks)