List of top Mathematics Questions on Curves asked in CUET (UG)

The area (in square units) of the region bounded by curves \( y = x \) and \( y = x^3 \) is:

For the curve \( y(1 + x^2) = 2 - x \), if \(\frac{dy}{dx} = \frac{1}{A}\) at the point where the curve crosses the x-axis, then the value of \( A \) is:

A particle moves along the curve \(6x = y^3 + 2\). The points on the curve at which the \(x\) coordinate is changing 8 times as fast as \(y\) coordinate are:

The area (in square units) bounded by the curve y = |x−2| between x = 0, y = 0, and x = 5 is:

The area (in square units) enclosed between the curve $x^2 = 4y$ and the line $x = y$ is:

The slope of normal to the curve \(y = 3x^2-6x\) at x = 0 is: