Class 9 Higher Math Solution Bd Apr 2026

x₁ = (5+3)/4 = 8/4 = 2 x₂ = (5-3)/4 = 2/4 = 1/2

Solution: x⁴ + x² + 1 = (x⁴ + 2x² + 1) - x² = (x² + 1)² - (x)² = (x² + 1 - x)(x² + 1 + x) = (x² - x + 1)(x² + x + 1) 3.1 Distance Formula Distance between A(x₁, y₁) and B(x₂, y₂): AB = √[(x₂ - x₁)² + (y₂ - y₁)²] 3.2 Section Formula (Internal Division) Point P dividing AB internally in ratio m:n: P = ( (mx₂ + nx₁)/(m+n) , (my₂ + ny₁)/(m+n) ) 3.3 Worked Example Q: Show that points A(1,2), B(4,6), C(7,2) form an isosceles triangle. Class 9 Higher Math Solution Bd

Since AB = BC = 5, triangle ABC is isosceles. 4.1 Ratios for 0°, 30°, 45°, 60°, 90° | θ | sinθ | cosθ | tanθ | |---|------|------|------| | 0° | 0 | 1 | 0 | | 30° | 1/2 | √3/2 | 1/√3 | | 45° | √2/2 | √2/2 | 1 | | 60° | √3/2 | 1/2 | √3 | | 90° | 1 | 0 | ∞ | 4.2 Example Problem Q: If tanθ = 3/4, find sinθ and cosθ. x₁ = (5+3)/4 = 8/4 = 2 x₂

Solution: a=2, b=-5, c=2 Δ = (-5)² - 4×2×2 = 25 - 16 = 9 x = [5 ± √9] / (4) = [5 ± 3]/4 Solution: a=2, b=-5, c=2 Δ = (-5)² -