Circles..

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In triangle ABC equation of side BC is x-y=0.Circumcentre and Orthocentre of the triangle are (2,3) and (5,8) respectively.Find the equation of circumcircle of the triangle..

#Mathematics #Co-ordinate Geometry

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Rocky Crazy ·2009-09-20 23:46:39

Reply anyone..

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Rocky Crazy ·2009-09-21 06:55:25

reply..

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Dr.House ·2009-09-21 07:31:50

find the equation of the triangle???

your question does not make any sense..

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Rocky Crazy ·2009-09-21 09:54:28

edited

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eureka123 ·2009-09-21 20:25:35

Circumcentre=(2,3) =>eqn of circumcircle :(x-2)²+(y-3)²=r²
and eqn BC : y=x => pt B and C lie on this line

=> soln of circumcircle of triangle ABC and Line BC will have two distinct real solutions

also orthocentre is intersection of altitudes of triangle...
and centroid divides O and C in ratio 2:1

can we find radius using this info ??[7][7]

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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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Circles..

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