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If OA and OB are two perpendicular chord...

If `OA and OB` are two perpendicular chords of the circle `r = a cos theta + b sin theta` epassing through origin, then the locus of the mid point of `AB` is :

A

`x^(2)+y^(2)=a+b`

B

`x=(a)/(2)`

C

`x^(2)-y^(2)=a^(2)-b^(2)`

D

`y=(b)/(2)`

Text Solution

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The correct Answer is:
B, D
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Knowledge Check

  • The distance of the point (a cos theta, a sin theta) from the origin is

    A
    |a| unit
    B
    |a+1| unit
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    D
    None of these

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