Circle And System Of Circles Question 22
Question: Tangents drawn from origin to the circle $ x^{2}+y^{2}-2ax-2by+b^{2}=0 $ are perpendicular to each other, if
[MP PET 1995]
Options:
A) $ a-b=1 $
B) $ a+b=1 $
C) $ a^{2}=b^{2} $
D) $ a^{2}+b^{2}=1 $
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Answer:
Correct Answer: C
Solution:
Obviously, tangents from origin will be perpendicular if it touches both axes i.e., $ a=b $ or $ a^{2}=b^{2} $ .
BETA
