The curve y = f (x) is such that the tangent to the curve at every point (𝑥, 𝑦) has a 𝑌-axis intercept 𝑐, given by 𝑐 = −𝑦. Then, f (x) is proportional to

Q. The curve y = f (x) is such that the tangent to the curve at every point (𝑥, 𝑦) has a 𝑌-axis intercept 𝑐, given by 𝑐 = −𝑦. Then, f (x) is proportional to

(A) x^–1

(B) x²

(C) x³

(D) x⁴

Ans: x²

Sol:

Let the equation of tangent is,

y = mx + c