Question

Equation to the normal to the curve y = f(x) at (x, y)is​

Answer 1

Answer:

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Answer 2

Answer:

Solution

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Correct option is

A

y=e

a(x−1)

Slope of tangent at any point P(x,y) is

dx

dy

∝y

⇒

dx

dy

=ky⇒y=e

k(x−1)

since a(y−1)+(x−1)=0 is normal at (1,1)⇒k=1

Hence f(x)=y=e

a(x−1)