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QJEEAdv06Ma6e3e: JEE Advanced 2006 Mathematics - Class 12 JEEAdv06Ma6e3e Solution: A curve passes through and at tangent cuts the -axis and -axis…

A curve

y=f(x)

passes through

(1,1)

and at

P(x,y),

tangent cuts the

x

-axis and

y

-axis at

A

and

B

respectively such that

BP:AP=3:1,

then

Multiple Choice Options

A equation of curve is $xy'-3y=0$
B normal at $(1,1)$ is $x+3y=4$
C curve passes through $(2, 1/8)$
D equation of curve is $xy'+3y=0$

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