Q.

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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a

are perpendicular

b

are parallel

c

have a angle between them of π/4

d

none of these

answer is A.

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Detailed Solution

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