The Equation of tangent to the parabola having slope ‘m’, is y = mx + \(a\over m\) , (m \(\ne\) 0)
and point of contact is (\(a\over m^2\), \(2a\over m\)).
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