List of top Mathematics Questions on Tangents and Normals asked in CUET (UG)

Angle between tangents to the curve y=x²-5x+6 at the points (2, 0) and (3, 0) is:

The points on the curve \(\frac{x^2}{9} + \frac{y^2}{16} = 1\) at which the tangents are parallel to x-axis:

The tangent to the curve \(x=cost(3-2cos^2t),y=sint(3-2sin^2t)\) at  \(t=\frac{\pi}{4}\),makes with the \(x-axis\) an angle:

The equation of the tangent to the curve given by $x=a \sin^{3}t$, $y=b \cos^{3}t$ at a point where $t = \frac{\pi}{2}$ is ________.