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 $ .



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