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If a straight line through the origin bi...

If a straight line through the origin bisects the line passing through the given points `(acosalpha,asinalpha)` and `(acosbeta,asinbeta),` then the lines (a) are perpendicular (b) are parallel (c) have an angle between them of `pi/4` (d) none of these

A

are perpendicular

B

are parallel

C

have an angle between them of `pi//4`

D

none of these

Text Solution

Verified by Experts

The correct Answer 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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