JEE Main 20203 Sep, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002
If the tangent to the curve, y = e^x
at a point
(c, e^c) and the normal to the parabola, y² = 4x
at the point (1, 2) intersect at the same point on
the x-axis, then the value of c is ________ .