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The condition that the chord xcosalpha+y...

The condition that the chord `xcosalpha+ysinalpha-p=0` of `x^2+y^2-a^2=0` may subtend a right angle at the center of the circle is _

A

`a^(2)=2p^(2)`

B

`p^(2)=2a^(2)`

C

`a=2p`

D

`p=2a`

Text Solution

Verified by Experts

The correct Answer is:
1
The distance of the given line from the center of the circle `|p|`.
Now, the line subtends right angle at the center. Hence,
Radius `= sqrt(2) |p|`
or `a= sqrt(2)|p|`
or `a^(2)=2p^(2)`
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