APPLICATION OF DERIVATIVES | EQUATION OF TANGENTS AND NORMALS, ANGLE BETWEEN THE CURVES, MISCELLANEOUS APPLICATION | Slope of tangent and normal, Equation of normal and tangents, Finding the equations of tangent and normal to a curve at a point, Length of tangent; normal; subtangent and subnormal, Finding the equations of tangent and normal parallel or perpendicular to a given line, Finding the equation of the curve, Angle between two curves: how it is equal to angle between tangents, Show that the curves `x = y^2` and `xy = k` cut at right angles; if `8k^2 = 1`, Find the possible values of p such that the equation `px^2 = lnx` has exactly one solution.