The chord of the parabola `y=-a^2x^2 + 5ax - 4` touches the curve `y=1/(1-x)`at the point x = 2 and is bisected by that point. Find 'a'

If the line y=4x -5 touches the curve y^(2) =ax^(3) +b at the point (2,3) then a+b is

If the line y= 4x-5 touches the curve y^2 = ax^3 + b , at the point (2,3) find a and b.

The length of the chord of the parabola y^(2) = x which is bisected at the point (2, 1) is less than

If the line y=4x-5 touches the curve y^(2)=ax^(3)+b at the point (2,3) , then : (a, b)-=

A variable chord of the parabola y^(2)=8x touches the parabola y^(2)=2x. The the locus of the point of intersection of the tangent at the end of the chord is a parabola.Find its latus rectum.

If a chord of the parabola y^2 = 4ax touches the parabola y^2 = 4bx , then show that the tangent at the extremities of the chord meet on the parabola b^2 y^2 = 4a^2 x .