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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-08-QDR-01
Quadrants & Distance - Assignment
Chapter: Coordinate Geometry
Topic: Quadrants and Distance Interpretation
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
In Quadrant I, $(x,y)$ are:
  • A.$(+,+)$
  • B.$(-,+)$
  • C.$(-,-)$
  • D.$(+,-)$
2.
In Quadrant II, $(x,y)$ are:
  • A.$(+,+)$
  • B.$(-,+)$
  • C.$(-,-)$
  • D.$(+,-)$
3.
In Quadrant III, $(x,y)$ are:
  • A.$(+,+)$
  • B.$(-,+)$
  • C.$(-,-)$
  • D.$(+,-)$
4.
In Quadrant IV, $(x,y)$ are:
  • A.$(+,+)$
  • B.$(-,+)$
  • C.$(-,-)$
  • D.$(+,-)$
5.
The distance between $(0,0)$ and $(3,4)$ is:
  • A.$5$
  • B.$7$
  • C.$12$
  • D.$25$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
In which quadrant is $(3,5)$?
7.
In which quadrant is $(-4,2)$?
8.
In which quadrant is $(-1,-6)$?
9.
In which quadrant is $(7,-2)$?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
State the quadrant of $(-5,-9)$.
11.
Find the distance between $(0,0)$ and $(3,4)$.
12.
Find the distance between $(1,2)$ and $(4,2)$.
13.
Find the distance between $(2,1)$ and $(2,6)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Find the distance between $A(0,0)$ and $B(6,8)$.
15.
$A(1,2)$, $B(4,2)$, $C(4,6)$ form a right triangle. Find $AB$, $BC$ and $AC$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $(+,+)$
  2. (B) $(-,+)$
  3. (C) $(-,-)$
  4. (D) $(+,-)$
  5. (A) $5$
Section B — Short Answer (2 marks)
  1. I.
  2. II.
  3. III.
  4. IV.
Section C — Short Answer (3 marks)
  1. III.
  2. $5$.
  3. $3$.
  4. $5$.
Section D — Long Answer (5 marks)
  1. $10$.
  2. $AB=3,\ BC=4,\ AC=5$.
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