List of top Mathematics Questions on Tangents and Normals asked in AP EAMCET

Equation of the normal to the curve \( y = x^2 + x \) at the point \( (1,2) \) is:
If the curves \(y=x^3-3x^2-8x-4\) and \(y=3x^2+7x+4\) touch each other at a point \(P\), then the equation of common tangent at \(P\) is
The length of the transverse common tangent of the circles $x^2 + y^2 - 2x + 4y + 4 = 0$ and $x^2 + y^2 + 4x - 2y + 1 = 0 $ is