The curve y = f (x) is such that the tangent to the curve at every point (๐‘ฅ, ๐‘ฆ) has a ๐‘Œ-axis intercept ๐‘, given by ๐‘ = โˆ’๐‘ฆ. Then, f (x) is proportional to

The curve y = f (x) is such that the tangent to the curve at every point (๐‘ฅ, ๐‘ฆ) has a ๐‘Œ-axis intercept ๐‘, given by ๐‘ = โˆ’๐‘ฆ. Then, f (x) is proportional to

Q. The curve y = f (x) is such that the tangent to the curve at every point (๐‘ฅ, ๐‘ฆ) has a ๐‘Œ-axis intercept ๐‘, given by ๐‘ = โˆ’๐‘ฆ. Then, f (x) is proportional to

(A) xโ€“1

(B) x2

(C) x3

(D) x4

Ans: x2

Sol:

Let the equation of tangent is,

y = mx + c

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