conic

JEE Advanced Preparation › Co-ordinate Geometry questions › conic

a circle 'c' intersecting the ellipse x²/16 + y²/9=1 such that common chord is of max. length , and intersecting the circle x²+y²-6x-10y+9=0 orthogonally ,then number of common tangents of circle 'c' and circle x²+y²-10x-11=0 is-----

#Mathematics #Co-ordinate Geometry

UP 0 DOWN 0 0 1
Post on FacebookPost anonymously?

1 Answers

jeetopper jee ·2010-11-18 05:35:03

the answer is 2.
If the chord is to be of max length then it must pass thru extremities of major axis.
from this we get g=0 n c=-16 in gen equation of circle c.
also find the value of f thru orthogonality condition.
Now on comparing the equation of this circle with the circle given it is found the the circle passes thru its centre so only 2 tangents r possible.

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

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

Close [X]

conic

1 Answers

Your Answer

Add Image

Similar Questions