What is the equation of tangent to the parabola having slope m?

Solution :

The Equation of tangent to the parabola having slope ‘m’, is y = mx + $a\over m$ ,  (m $\ne$ 0)

and point of contact  is ($a\over m^2$, $2a\over m$).

---

Similar Questions

The sum of the slopes of the tangent of the parabola $y^2$=4ax drawn from the point (2,3) is

Find the locus of middle point of the chord of the parabola $y^2$ = 4ax which pass through a given (p, q).

Find the equation of the tangents to the parabola $y^2$ = 9x which go through the point (4,10).

Find the value of k for which the point (k-1, k) lies inside the parabola $y^2$ = 4x.

The length of latus rectum of a parabola, whose focus is (2, 3) and directrix is the line x – 4y + 3 = 0 is