CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/B · Question 37

Coordinate Geometry 4 marks Medium

Morning assembly is an integral part of every school's schedule. In the assembly, students always stand in rows and columns and this makes a coordinate system. In a school, there are

200

students and they all assemble for prayer in

10

rows.

4

students are at

A

B

C

and

D

with the following positions of the coordinate system:

A (3, 4)

B (6, 7)

C (9, 4)

and

D (6, 1)

. Based on the above, answer the following questions:

(a)Find the distance between $A$ and $B$ .
(b)Find the distance between $C$ and $D$ .
(c)Show that $A B C D$ forms a parallelogram. OR Find the mid-point of the line segments $A C$ and $B D$ .

aFind the distance between $A$ and $B$ .[1]
bFind the distance between $C$ and $D$ .[1]
cShow that $A B C D$ forms a parallelogram.[2]
c-ORFind the mid-point of the line segments $A C$ and $B D$ . (OR alternative)[2]

Answer

A B = C D = 32

; midpoints of

A C

and

B D

both

(6, 4)

, so

A B C D

is a parallelogram.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/B, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/B · Question 37

Answer

From the board paper

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