For the curve y=f(x) and P is a point on the curve and at p the length of tangent =2, length of normal is 2 by root 3, the length of subtangent is root 3 then the length of subnormal is
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ans:1/root(3)
Step-by-step explanation:
given: f(x)/f'(x)=root(3)
f(x)[root(1+(f'(x))2)]=2/root(3)
f(x)/f'(x)[root(1+(f'(x))2]=2
by dividing length of normal with length of normal, we get f'(x)=1/root(3)
therefore f(x)=1
length of subnormal= f(x)(f'(x))=1(1/root(3))=1/root(3)
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