Common tangents are drawn to the parabola y2= 4x = & the ellipse 3x2 +8y =48 touching the parabola at A and B and the ellipse at C & D. Find the area of the quadrilateral.
we know that a tangent at slope m touches parabola
so coordinate of point of contact are A(8,4√2) and B(8, 4 √2) − we also know that tangent of slope m touches the ellipse x2/a2 +y2/b2 =1 at
