set of values of @

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the set of values of @ if origin lies in the bisector of acute angle between the lines @x+2y-3=0 and x+y+7=0

#Mathematics #Co-ordinate Geometry

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4 Answers

Lokesh Verma ·2008-12-15 05:12:52

Try this by geometric thinking.

The line x+y+7=0 is below the origin and passes through the points (-7,0) and (0,-7)

Now see if the angle is acute then it is less than 90 degree. So the maximum slope permitted by this line is such that it is perpendicular to this line.

that line is given by x-y= constant.

can you now try to make something out of this questino...

This might seem a stupid hint.. but trust me if u can use it wisely it will help a lot!

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Philip Calvert ·2009-02-09 11:51:33

could n't get anything after the third line [2]

but that might be becoz i am feeling sleepy [1]

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Lokesh Verma ·2009-02-10 22:03:40

what is the eqtn of the line perpendicular to x+y=k

it is x-y=c

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Philip Calvert ·2009-02-11 02:57:49

sorry i really was sleepy .....hehe

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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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set of values of @

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