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If a straight line through the origin bisects the line passing through the given points $(acosα, asinα)$ and $(acosβ, asinβ),$ then the lines

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are perpendicular

are parallel

have a angle between them of π/4

none of these

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detailed solution

Correct option is A

Since OA=OB=a,AOB is an isosceles triangle.The line through the origin bisecting AB will be perpendicular to AB.

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If a straight line through the origin bisects the line passing through the given points acosα,asinα and acosβ,asinβ, then the lines

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If a straight line through the origin bisects the line passing through the given points $(acosα, asinα)$ and $(acosβ, asinβ),$ then the lines