circles

JEE Advanced 2015 Coaching › Algebra questions › circles

c1 is a circle of radius 1 touching the x axis and the y axis. c2 is another circle of radius > 1 and touching the axes as well as the circle c1. then the radius of c2 is

#Mathematics #Algebra

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aditya ravichandran ·2011-07-28 11:08:10

is the answer
3+2âˆš2

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rishabh ·2011-07-28 11:09:59

yes it is!

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aditya ravichandran ·2011-07-28 11:17:13

by pythagoras theorem

r²+r²=(r+(√2+1))²

by solving this and rejecting the negative root

we get

r=3+2√2

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Shubhodip ·2011-07-28 11:18:00

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rishabh ·2011-07-28 11:20:11

oops i was working on this one? anything wrong?

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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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