Series RTEQ.P. Code 60/-2/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 7: Coordinate Geometry
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
Find the length of the longest side of the triangle with vertices (0, 0), (3, 0) and (0, 4).
2.1
Find the point that divides the join of (0, 0) and (10, 5) internally in the ratio 3 : 2.
3.1
Find the value(s) of x if the distance between (x, 0) and (0, 4) is 5 units.
4.1
Find the mid-point of the line segment joining (2, −6) and (8, 4).
5.1
Find the distance of the point (−5, 12) from the origin.
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
The centre of a circle is (2, −1) and one end of a diameter is (−3, 4). Find the other end of the diameter.
7.2
Find the ratio in which the y-axis divides the line segment joining (−3, 4) and (6, −2). Also find the point of division.
8.2
Find the values of y for which the distance between P(5, y) and Q(1, −2) is 5 units.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
A(1, −2), B(4, 0) and C(6, 3) are three vertices of parallelogram ABCD taken in order. Find the fourth vertex D and verify your answer.
10.3
Find the point on the x-axis which is equidistant from (7, 6) and (−3, 4).
11.3
Show that the points A(2, 0), B(5, 1), C(4, 4) and D(1, 3), taken in order, are the vertices of a square.
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