A) 45/2
B) 49/2
C) 25/2
D) 81/2
Correct Answer: B
Solution :
[b] Length of sub-normal = length of the sub-tangent or \[\frac{dy}{dx}=\pm 1\] If \[\frac{dy}{dx}=1\], equation of the tangent is \[y-4=x-3\] or \[y-x=1\] area of \[\Delta OAB=\frac{1}{2}\times 1\times 1=\frac{1}{2}\] If \[\frac{dy}{dx}=-1,\]equation of the tangent is \[y-4=-x+3\] Or \[y+x=7,\] Area \[=\frac{1}{2}\times 7\times 7=\frac{49}{2}\]You need to login to perform this action.
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