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Find the equation to the tangent with the circle x 2 +y 2 =4 and which is parallel to the line x+2y+3=0

Find the equation to the tangent with the circle x2+y2=4 and which is parallel to the line x+2y+3=0

Grade:10

1 Answers

Arun
25750 Points
4 years ago
Dear student
 
parallel to given line means slope should be – ½
 
hence tangent:
 
y = – ½ x ± 2 sqrt(1+1/4)
 
y = – ½ x ± sqrt(5)

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