This system has no solution. Here, a₁/a₂ = 1/3 and b₁/b₂ = -1/(-3) = 1/3, but c₁/c₂ = -8/(-16) = 1/2. Because the lines are parallel, they never intersect. Cbse released Class 9 Ganita Manjari Part 2 book Chapter 13 Two ...
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It has infinitely many solutions. Dividing the second equation by 2 gives x + y = 5, identical to the first. Graphically, both equations form coincident lines; every point like (0, 5) or (5, 0) is a solution. Class 9 Ganita ...
The inscribed square base has diagonal 2r and area (2r)² / 2 = 2r². Pyramid volume is (1/3)(2r²)h = (2/3)r²h. Cylinder volume is πr²h. Their volume ratio is 2 : 3π. Cbse Class 9 Maths Ganita Manjari Part 2 Solutions Class ...
The height is 1 / (2π) ≈ 0.16 m (about 16 cm) for all cases, because radial difference Δr = ΔC / (2π) depends only on added length, entirely independent of the sphere’s radius. Ganita Manjari Part 2 Class 9 Chapter ...
The smallest enclosing cylinder for a sphere of radius r has base radius r and height 2r, with volume 2πr³. The sphere volume is (4/3)πr³, exactly two-thirds of the cylinder’s volume. Class 9 Ganita Manjari Part 2 book Chapter 14 Question ...