Question

140. Show that the line y = x bisects angle XOy.​

Answer 1

SOLUTION

TO PROVE

The line y = x bisects angle ∠XOY

EVALUATION

Here the positive x axis makes an angle 90° positive y axis

Now the given equation of the line is

y = x

Which is of the form y = mx + c

Where m = 1

Now if the line makes an angle θ with positive x axis then

m = tanθ

⟹ tanθ = 1

⟹ tanθ = tan45°

⟹ θ = 45°

Hence the line y = x bisects angle ∠XOY

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