📘 Exercise 3.2
🔹 Question 1
Plot the points (2, 3), (−2, 3), (−2, −3), (2, −3) on a graph paper.
(2,3), (−2,3), (−2,−3), (2,−3) বিন্দুবোৰ গ্ৰাফ পেপাৰত অংকন কৰক।
Explanation / সহজ বুজাব পৰা ধৰণ :
- (2, 3) → 2 steps right, 3 steps up → First Quadrant
- (−2, 3) → 2 steps left, 3 steps up → Second Quadrant
- (−2, −3) → 2 steps left, 3 steps down → Third Quadrant
- (2, −3) → 2 steps right, 3 steps down → Fourth Quadrant
📌 These four points form a rectangle.
🔹 Question 2
Plot the points (3, 2), (−3, 2), (−3, −2), (3, −2). Name the figure formed.
(3,2), (−3,2), (−3,−2), (3,−2) বিন্দুবোৰ অংকন কৰি গঠন হোৱা আকৃতিটোৰ নাম লিখা।
Solution / সমাধান :
- Points lie equally on all sides of origin
- Opposite sides are equal and parallel
👉 Figure formed = Rectangle
🔹 Question 3
Plot the points (1, 2), (2, 4), (3, 6). What do you observe?
(1,2), (2,4), (3,6) বিন্দুবোৰ অংকন কৰি আপুনি কি লক্ষ্য কৰে?
Observation / লক্ষ্য :
All points lie on a straight line.
Reason:
Each point follows the rule y = 2x.
🔹 Question 4
Plot the points (−4, 0), (0, 3), (4, 0), (0, −3). Join them in order. Name the figure.
(−4,0), (0,3), (4,0), (0,−3) বিন্দুবোৰ অংকন কৰি জোৰা দিয়ক। আকৃতিটোৰ নাম লিখা।
Solution / সমাধান :
- Points lie on axes
- All sides are equal
👉 Figure formed = Rhombus (সমচতুৰ্ভুজ)
🔹 Question 5
Plot the points (0, 5), (5, 0), (0, −5), (−5, 0). What shape is formed?
(0,5), (5,0), (0,−5), (−5,0) বিন্দুবোৰ অংকন কৰিলে কোনটো আকৃতি গঠন হয়?
Answer / উত্তৰ :
The shape formed is a Square.
Reason:
- All sides equal
- All angles are right angles
🌟 VERY IMPORTANT EXAM POINTS
✔ Always mark origin first
✔ Count boxes carefully
✔ Plot x first, then y
✔ Shape depends on position of points
❌ COMMON MISTAKES
❌ Interchanging x and y
❌ Wrong sign (+ / −)
❌ Not using scale
🔁 Ultra-Quick Revision
- Right → +x
- Left → −x
- Up → +y
- Down → −y