Circle And System Of Circles Question 127
Question: The pole of the straight line $ x+2y=1 $ with respect to the circle $ x^{2}+y^{2}=5 $ is
[RPET 2000, 01]
Options:
A) (5, 5)
B) (5, 10)
C) (10, 5)
D) (10, 10)
Show Answer
Answer:
Correct Answer: B
Solution:
Let the pole be $ (x_1,y_1) $ , then the equation of polar is $ xx_1+yy_1=a^{2} $
therefore $ xx_1+yy_1=5 $ ….(i) Since (i) and $ x+2y=1 $ represents the same straight line .
$ \therefore $ $ x_1=5 $ , $ y_1=10 $
therefore Pole is (5, 10).
BETA
