List of top Questions asked in WBJEE JENPAS UG- 2026

If \( \operatorname{adj} B = A, \ |P|=|Q|=1 \), then \[ \operatorname{adj}(Q^{-1} B P^{-1}) = \ ? \]

If the sum of the squares of the roots of the equation \[ x^2 - (a-2)x - (a+1) = 0 \] is least for an appropriate real parameter \( a \), then the value of \( a \) will be:

If for a matrix \( A \), \( |A| = 6 \) and \[ \operatorname{adj}A = \begin{bmatrix} 1 & -2 & 4
4 & 1 & 1
-1 & k & 0 \end{bmatrix}, \] then \( k \) is equal to:

The value of the integral \[ \int_0^{\pi/2} \log\!\left(\frac{4+3\sin x}{4+3\cos x}\right) dx is:

If \( z_1, z_2 \) are complex numbers such that \( \dfrac{2z_1}{3z_2} \) is a purely imaginary number, then the value of \[ \left|\frac{z_1 - z_2}{z_1 + z_2}\right| \] is:

The straight line \[ \frac{x-3}{3} = \frac{y-2}{1} = \frac{z-1}{0} \] is:

The value of the expression \[ {}^{47}C_4 + \sum_{j=1}^{5} {}^{52-j}C_3 \] is:

If \[ x = \int_0^y \frac{1}{\sqrt{1+9t^2}} \, dt \quad \text{and} \quad \frac{d^2 y}{dx^2} = ay, \] then \( a \) is equal to:

The value of \[ \int_{-1}^{1} \frac{x^3 + |x| + 1}{x^2 + 2|x| + 1} \, dx is equal to: \]

A function \( f \) is defined by \( f(x) = 2 + (x-1)^{2/3 \) on \( [0,2] \). Which of the following statements is incorrect?}

If \( \vec{a}, \vec{b}, \vec{c} \) are non-coplanar vectors and \( \lambda \) is a real number, then the vectors \[ \vec{a} + 2\vec{b} + 3\vec{c}, \quad \lambda\vec{b} + 4\vec{c}, \quad (2\lambda - 1)\vec{c} \] are non-coplanar for:

The value of \[ \int_0^{1.5} [x^2] \, dx is equal to: \]

The function \( f(x) = 2x^3 - 3x^2 - 12x + 4, \, x \in \mathbb{R \) has:}

For what value of \( a \), the sum of the squares of the roots of the equation \[ x^2 - (a-2)x - a + 1 = 0 \] will have the least value?