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Standard XII

Mathematics

Angle between Pair of Straight Lines

Let L1 and ...

Question

Let $L_{1}$ and $L_{2}$ be two intersecting lines. lf the image of $L_{1}$ w.r.t. $L_{2}$ and that of $L_{2}$ w.r.t. $L_{1}$ concides, then the angle between $L_{1}$ and $L_{2}$ is

35^{0}

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60^{0}

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90^{0}

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45^{0}

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Solution

The correct option is C $60^{0}$
Let angle between $L_{1}$ and $L_{2}$ be $θ$
Let the image line be $L_{3}$
Angle between $L_{1}$ and $L_{3}$ is $θ$ because of image properties.
Also angle between $L_{2}$ and $L_{3}$ is $θ$ because it is also image of $L_{2}$
Summing all the angles around the point of intersection $θ + θ + θ + θ + θ + θ = 360^{0}$
$6 θ = 360^{0}$
$θ = 60^{0}$

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Let L1 and L2 be two intersecting lines. lf the image of L1 w.r.t. L2 and that of L2 w.r.t. L1 concides, then the angle between L1 and L2 is

The correct option is C 600Let angle between L1 and L2 be θLet the image line be L3Angle between L1 and L3 is θ because of image properties.Also angle between L2 and L3 is θ because it is also image of L2Summing all the angles around the point of intersection θ+θ+θ+θ+θ+θ=36006θ=3600θ=600

Let $L_{1}$ and $L_{2}$ be two intersecting lines. lf the image of $L_{1}$ w.r.t. $L_{2}$ and that of $L_{2}$ w.r.t. $L_{1}$ concides, then the angle between $L_{1}$ and $L_{2}$ is