Straight LineHard

Question

A straight line cuts the x-axis at point A(1, 0) and y-axis at point B, such that ∠OAB = α(α > ), C is the middle point of AB. if B′ is is mirror image of B with respect to the line OC and C′ is the mirror image of C with respect to the line BB′, then find the ratio of areas of triangles ABB′ and BB′C′ :

Options

A.1
B.
C.2
D.depends upon α

Solution

OB = tan α
∠COA = α
AB = sec α
Equation of lien OC is y = x tan α

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