JEE Main 2026 question paper

The value of cosec 10° − √3 sec 10° is equal to:

Identify correct statements from the following: A. Propanal and propanone are functional isomers. B. Ethoxyethane and methoxypropane are metamers. C. But-2-ene shows optical isomerism. D. But-1-ene and but-2-ene are functional isomers. E. Pentane and 2,2-dimethyl propane are chain isomers. Choose the correct answer from the options given below:

The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of 176 rad/s. The frequency of this simple harmonic oscillator is ______ Hz. [take π = 22/7]

If the line αx + 2y = 1, where α ∈ R, does not meet the hyperbola x² − 9y² = 9, then a possible value of α is:

A → products (First order reaction). Three sets of experiment were performed for a reaction under similar experimental conditions. Run 1: 100 mL of 10 M solution of reactant A Run 2: 200 mL of 10 M solution of reactant A Run 3: 100 mL of 10 M solution of reactant A + 100 mL of H₂O added. The correct variation of rate of reaction is:

A circuit has a 9 V battery, an ammeter and a switch K in series with three parallel branches: (i) a 4 mH inductor in series with a 9 Ω resistor, (ii) a 9 Ω resistor alone, (iii) a 9 Ω resistor in series with a 4 mH inductor. The reading of ammeter at the moment switch K is turned ON, is ______ A.

The sum of all possible values of n ∈ N, so that the coefficients of x, x² and x³ in the expansion of (1 + x²)²(1 + x)ⁿ, are in arithmetic progression is:

Match List-I (Functional group – detection) with List-II (Change observed during detection). List-I: A. Unsaturation (Baeyer's test) B. Alcoholic group (Ceric ammonium nitrate test) C. Aldehyde group (Tollen's reagent) D. Phenolic group (FeCl₃ test) List-II: I. Red colour appears II. Silver mirror appears III. Violet colour appears IV. Discharge of pink colour Choose the correct answer from the options given below:

An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and 2√3 (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is ______.

Let [t] denote the greatest integer less than or equal to t. If the function f(x) = b² sin((π/2)[(π/2)(cos x + sin x)cos x]) for x < 0, f(x) = (sin x − ½sin 2x)/x³ for x > 0, and f(x) = a for x = 0, is continuous at x = 0, then a² + b² is equal to: