Question

Let y = `f(x)` be the equation of a curve. Then the equation of tangent at (x_o, y_o) is :- 

Options

• `y - y_o = m(x - x_o)`

• `y_o - y = m(x_o - x)`

• `x_o - x = m(y - y_o)`

• `x - x_o = m(y_o - y)`

Answer 1

`y - y_o = m(x - x_o)`

Explanation:

Tangent to a Curve:- Let `y = f(x)` be the equation of a curve. The equation of the tangent at `(x_o, y_o)` is `y - y_o = m(x - x_o)`

`[(dy)/(dx)]_(x_o = y_o) = f^'(x_o)`