JEE Main 202224 Jun, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002
If two tangents drawn from a point (, ) lying on the ellipse 25x² + 4y² = 1 to the parabola y² = 4x are such that the slope of one tangent is four times the other, then the value of (10 + 5)² + (16² + 50)² equals ___________.