Circle And System Of Circles Question 113
Question: The equations of the tangents to the circle $ x^{2}+y^{2}=50 $ at the points where the line $ x+7=0 $ meets it, are
Options:
A) $ 7x\pm y+50=0 $
B) $ 7x\pm y-5=0 $
C) $ y\pm 7x+5=0 $
D) $ y\pm 7x-5=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
Points where $ x+7=0 $ meets the circle $ x^{2}+y^{2}=50 $ are $ (-7,\ 1) $ and $ (-7,\ -1) $ .
Hence equations of tangents at these points are $ -7x\pm y=50 $ or $ 7x\pm y+50=0 $ .