List of top Questions asked in CUET (UG)- 2026

If the straight line equation \( \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} \) runs completely parallel to the plane surface given by \( A x + 2y + 3z = 5 \), find the value of the coefficient \( A \).

Find the total area of the region bounded between the curve \( y = x^3 \), the x-axis, and the vertical lines \( x = -1 \) and \( x = 1 \).

Under what condition will a linear programming system containing objective function variables have no common feasible region?

A straight vector line makes equal acute angles \( \alpha = \beta = \gamma \) with all three primary coordinate axes. Find the absolute value of \( \cos\alpha \).

Determine the sum of the order and the degree of the differential equation given by: \[ y = x\frac{dy}{dx} + \sqrt{1 + \left(\frac{dy}{dx}\right)^2} \]

Find the total area of the region bounded by the parabola \( y^2 = 4x \) and the straight line \( y = x \).

During recombinant DNA technology, why are bacterial cells kept on ice after calcium chloride treatment?

Which graph correctly represents the species-area relationship on a logarithmic scale?

In the menstrual cycle, the LH surge is primarily responsible for:

The corpus luteum mainly secretes which of the following hormones?

What is the cessation of menstrual cycle in females around the age of 45--50 years called?

Read the following passage carefully and answer the question that follows: During the menstrual cycle, the endometrium undergoes cyclic changes under the influence of hormones. Ovulation generally occurs around the 14th day of a 28-day menstrual cycle. After ovulation, the ruptured Graafian follicle transforms into a temporary endocrine gland known as corpus luteum. If fertilisation does not occur, the corpus luteum degenerates leading to menstruation. Which hormone is mainly responsible for maintaining the endometrium after ovulation?

During the process of making bacteria competent for recombinant DNA technology, which treatment is commonly used?

In the graph of species-area relationship, what does the slope of the line represent when plotted on a log-log scale?

The species-area relationship was explained by Alexander von Humboldt. Which of the following equations correctly represents this relationship?

Ribozyme is:

A convex lens is made from glass material having refractive index of \(1.4\) with same radius of curvature on both sides. The ratio of its focal length and radius of curvature is ________.

A magnetic field vector in an electromagnetic wave is represented by \[ \vec{B} = B_0 \sin\left(2\pi \nu t - \frac{2\pi x}{\lambda}\right)\hat{j} \] Its associated electric field vector is ________.

A solenoid has a core made of material with relative permeability \(400\). The magnetic field produced in the interior of solenoid is \(1.0\,\text{T}\). The magnetic intensity in SI units is \(\alpha \times 10^5\). The value of \(\alpha\) is ________. \[ \text{Given: } \mu_0 = 4\pi \times 10^{-7}\,\text{SI units} \]

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: In electrostatics, a conductor does not store any net charge inside. Reason R: Inside the capacitor (with no dielectric medium), the free charge carriers, if placed between the plates of capacitor, experience force and drift. Choose the correct answer from the options given below:

The binding energy per nucleon of \(^{209}_{83}\mathrm{Bi}\) is ________ MeV. \[ \text{Given: } m\left(^{209}_{83}\mathrm{Bi}\right)=208.980388\,u, \quad m_p=1.007825\,u, \quad m_n=1.008665\,u, \] \[ 1u = 931\,\text{MeV}/c^2 \]

A circular current loop of radius \(R\) is placed inside a square loop of side length \(L\) \((L \gg R)\) such that they are co-planar and their centers coincide. The permeability of free space is \(\mu_0\). The mutual inductance between circular loop and square loop is ________.