Acute angle between the lines represented by x 2- y 2 -3-4 xy isA- - - 6B- - - 4C- - - 3D- None of these

The correct option is A tanθ = 2√(h^2 ab)/a + b tan θ = ±2√(4 3)/2√(3) = nbsp;1/√(3) or θ = 30^∘ Hence, acute angle is 30^∘ or π/6 ...

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Standard XII

Mathematics

Angle between Pair of Straight Lines

Acute angle b...

Question

Acute angle between the lines represented by $(x^{2} + y^{2}) \sqrt{3} = 4 x y$ is

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None of these

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Solution

The correct option is A

$tan θ = \frac{2 \sqrt{h^{2} - a b}}{a + b}$
$t a n θ = \pm \frac{2 \sqrt{4 - 3}}{2 \sqrt{3}} = \frac{1}{\sqrt{3}} o r θ = 30^{\circ}$

Hence, acute angle is $30^{\circ}$ or $\frac{π}{6}$

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Acute angle between the lines represented by (x2+y2)√3=4xy is

The correct option is A tanθ=2√h2−aba+b tanθ=±2√4−32√3=1√3 or θ=30∘ Hence, acute angle is 30∘ or π6

Acute angle between the lines represented by $(x^{2} + y^{2}) \sqrt{3} = 4 x y$ is

The correct option is A

$tan θ = \frac{2 \sqrt{h^{2} - a b}}{a + b}$
$t a n θ = \pm \frac{2 \sqrt{4 - 3}}{2 \sqrt{3}} = \frac{1}{\sqrt{3}} o r θ = 30^{\circ}$

Hence, acute angle is $30^{\circ}$ or $\frac{π}{6}$