The angle between the lines represented by the equation - x2-1-2 x y- y2-0- isA- 30-B- 45-C- 60-D- 90-

The correct option is D tanθ = 2√([(1 λ)^2/2]^2 + λ^2)/λ λ⇒θ = 90^∘ ...

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Byju's Answer

Standard XII

Mathematics

Angle between Pair of Straight Lines

The angle bet...

Question

The angle between the lines represented by the equation $λ x^{2} + (1 - λ)^{2} x y - λ y^{2} = 0$ , is

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Solution

The correct option is D

$tan θ = \frac{2 \sqrt{{[\frac{(1 - λ)^{2}}{2}]}^{2} + λ^{2}}}{λ - λ} \Rightarrow θ = 90^{\circ}$

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The correct option is D tanθ=2√[(1−λ)22]2+λ2λ−λ⇒θ=90∘

The angle between the lines represented by the equation $λ x^{2} + (1 - λ)^{2} x y - λ y^{2} = 0$ , is

The correct option is D

$tan θ = \frac{2 \sqrt{{[\frac{(1 - λ)^{2}}{2}]}^{2} + λ^{2}}}{λ - λ} \Rightarrow θ = 90^{\circ}$