The equation of the normal to the circle x2+y2= 9 at the pointisa)x –y =√2/3b)x + y = 0c)x –y = 0d)None of theseCorrect answer is option 'C'. Can you explain this answer?

Question

The equation of the normal to the circle x2+y2= 9 at the pointisa)x &ndash;y =&radic;2/3b)x + y = 0c)x &ndash;y = 0d)None of theseCorrect answer is option 'C'. Can you explain this answer?

Answer

Answer

Answer

(x-x1)/(x1+g) = (y-y1)/(y1+g)
[x-1/(2)^½]/(1/(2)^½) = [y-1/(2)^½]/(1/(2)^½)
[(2x)^½ -1 *(2)^½]/(2)^½ = [(2x)^½ -1 *(2)^½]/(2)^½
(2x)^½ -1 = (2y)^½ -1
= x-y = 0

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