CUET Mathematics 2026 29th May Shift 2 PYQs

The given function $f(x) = x^5 - 5x^4 + 5x^3 - 1$; has/have

(a) local maxima at $x = 1$

(b) local maximum value is 0

(c) local minimum at $x = 3$

(d) local minimum value is $-28$

(e) The point of inflexion is $x = 1$

Choose the correct answer from the options given below

The equation of tangent to the curve $x = a \cos^3 t, y = a \sin^3 t$ at t is :

The point on curve $y^2 = 4x$ which is nearest to the point $(2, -8)$ is