Conic Sections Question 487
Question: If the tangents are drawn from any point on the line $ x+y=3 $ to the circle $ x^{2}+y^{2}=9 $ , then the chord of contact passes through the point
Options:
A) (3, 5)
B) (3, 3)
C) (5, 3)
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Let ( $ (\alpha ,3-\alpha ) $ ) be any point on $ x+y=3. $ Then, the equation of chord of contact is $ \alpha x+(3-\alpha )y=9 $ i.e., $ \alpha (x-y)+3y-9=0 $ Therefore, the chord passes though the pint (3, 3) for all values of $ \alpha $ .
BETA
