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Prove that a straight line y=x+1.414c touches the circle x 2 +y 2 =c 2 and find the point of contact

Prove that a straight line y=x+1.414c touches the circle x2+y2=c2 and find the point of contact

Grade:10

1 Answers

Arun
25757 Points
3 years ago
Dear student
 
if we find a line of slope of 1 touching the given circle,
it would be 
 
y = x ± c sqrt(1+1)
 
y = x ± c (1.414)
 
which is the line which is to be proved.

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