Str. Lines

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2 points P(a.0) amd Q(-a,0) are given and R is variable point on 1 side of the line PQ such that <RPQ - <RQP is a positive constant 2Î¸.Show that the locus of R is ---
x²-y²Â±2xy cot 2Î¸ - a² =0

#Mathematics #Co-ordinate Geometry

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Gone.. ·2009-06-24 08:56:49

sum1 pls do this

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Manish Shankar ·2009-06-24 09:23:04

take R as (h,k)

given

tan^-1(k/(h-a))-tan^-1(k/(h+a))=2Î¸

take tan both sides and solve

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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Str. Lines

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