From the point (-1, 2), tangent lines are drawn to the parabola `y^2= 4x`. Find the equation of the chord of contact. Also find the area of the triangle formed by the chord of contact and the tangents.

The equation of tangent in slope form to the the parabola y^2 = 4x is

If the pair of tangents are drawn from the point (4,5) to the circle x^(2)+y^(2)-4x-2y-11=0 , then (i) Find the length of chord of contact. (ii) Find the area of the triangle fromed by a pair of tangents and their chord of contact. (iii) Find the angle between the pair of tangents.

From a point A, common tangents are drawn to the circle x^2+y^2=a^2/2 and parabola y^2= 4x . Find the area of the quadrilateral formed by the common tangents, the chord of contact of the circle and the chord of contact of the parabola.

y=3x is tangent to the parabola 2y=ax^2+ab . If b=36,then the point of contact is

The straight line y=mx+1 is a tangent to the parabola y^2=4x , the find the value of m.

Find the equations of the tangent and normal to the parabola y^2 = 4ax at the point (at^2, 2at)

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

y=3x is tangent to the parabola 2y=ax^2+b . If (2,6) is the point of contact , then the value of 2a is