P is the point of contact of the tangent from the origin to the curve y=loge x. The length of the
perpendicular drawn from the origin to the normal at P is
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Step-by-step explanation:
Let the tangent be drawn at the point (x,y).
Its equation is Y - V = (X – x)
But i = sin x
dy/dx =COS X
Y - y = cos x(X - x)
Since it passes through (0,0), therefore substituting (x,y) by (0,0) we get y
-y = -x coS x = cOS x and y = sin x
y? = cos x + sin? x = 1
= y2 + x^y2 = x + x2 - y2 = x²y2
hence the points of contact lie on x – y = x°y?
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