Series RTEQ.P. Code 54/0/-1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 1: Orienting Yourself: The Use of Coordinates
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
In which quadrant does the point (−2, −7) lie?
2.1
Write the coordinates of the point on the x-axis that is 6 units to the left of the origin.
3.1
Find the distance of the point (5, 12) from the origin.
4.1
Write the reflection of the point (4, −3) in the x-axis.
5.1
Find the midpoint of (2, 8) and (6, −4).
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
Find the distance between (−2, 3) and (4, −5).
7.2
Three corners of a rectangle are (1, 1), (6, 1) and (6, 4). Find the fourth corner and the length and width of the rectangle.
8.2
M (2, −3) is the midpoint of A (−4, 5) and B. Find B.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
(a) Show that (3, 4), (−4, 3) and (0, −5) lie on a circle centred at the origin. (b) Find its radius. (c) Does (2, 4) lie inside, on or outside this circle?
10.3
Check, without plotting, whether P (1, 2), Q (3, 6) and R (4, 8) lie on one straight line.
11.3
Triangle ABC has A (1, 1), B (4, 5) and C (4, 1). (a) Find all three side lengths. (b) Show it is right-angled. (c) Find its area.
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