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Compulsory in SEE Optional Math Group D (5 Marks)Class 10 • Optional Mathematics • Unit 4

Rating: 5 / 5

Defensible Pedagogical Basis:

CDC Class 10 Optional Mathematics Specification Grid: Homogeneous equation of second degree ax² + 2hxy + by² = 0 proof of acute angle tan θ = 2√(h² - ab) / (a + b) is the most repeated theoretical proof in optional mathematics.

Approach Summary: Let lines be y = m1 x and y = m2 x, relate slopes to coefficients (m1 + m2 = -2h/b and m1 m2 = a/b), substitute into tan θ formula, and derive a + b = 0 and h² = ab.

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