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If the line x+2y=k intersects the curve ...

If the line x+2y=k intersects the curve `x^(2)-xy+y^(2)+3x+3y-2=0` at two points A and B and if 0 is the origin. Then the condition for `angleAOB=90^(@)` is

A

`k^(2)+k+1=0`

B

`k^(2)-2k+10=0`

C

`2k^(2)+9k-10=0`

D

`3k^(2)+8k-1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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