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If the straight lines ax+by+p=0 and x co...

If the straight lines `ax+by+p=0 and x cos alpha +y sin alpha = c` enclose an angle `pi//4` between them and meet the straight line `x sin alpha - y cos alpha = 0 ` in the same point , then

A

`a^(2)+b^(2)=c^(2)`

B

`a^(2)+b^(2)=2c^(2)`

C

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

D

`a^(2)+b^(2)=4`

Text Solution

Verified by Experts

The correct Answer is:
C
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