hsanotes.com notes – short, clear, exam-focused – help score 90+ marks in Punjab board exams.
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For Punjab boards (Lahore, Gujranwala, Rawalpindi, Faisalabad, Bahawalpur, Multan, Sargodha, Sahiwal, DG Khan) and top schools: The City School, Beaconhouse, Roots International, Lahore Grammar School (LGS), Karachi Grammar School, Froebel’s, The Educators, Army Public School (APS), Divisional Public School, Government Model School.
Exercise 7.1 – Point Locations (Q1)
(i) x > 0: Right half-plane (excluding y-axis)
(ii) x > 0, y > 0: First quadrant (excluding axes)
(iii) x = 0: y-axis
(iv) y = 0: x-axis
(v) x > 0, y ≤ 0: Fourth quadrant including positive x-axis (excluding origin)
(vi) x = 0, y = 0: Origin (0,0)
(vii) x = y: Line y = x
(viii) x ≥ 3: Vertical line x=3 and right (including line)
(ix) y > 0: Upper half-plane (above x-axis, excluding)
(x) x, y opposite signs: 2nd or 4th quadrants
Distance Between Points (Q2)
Use d = √[(x₂ – x₁)² + (y₂ – y₁)²]
View PDF for calculations.
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