List of top Mathematics Questions asked in IIT JAM MS

The area of the region in the first quadrant that is bounded by the parabola

Consider the real matrices

If the system of linear equations

Let \(f:\mathbb{R}\to\mathbb{R}\) be the function defined by \(f(x)=3e^x\cos 2x\). If \(p(x)=ax^3+bx^2+cx+d\) is the third degree Taylor polynomial of \(f\) at \(x=0\), then \(|a|+|b|+|c|+|d|\) equals (in integer).

Let \(A\) be an \(m\times n\) real matrix with non-zero entries. Which of the following statements is/are true?

Let \(\{a_n\}_{n\geq 1}\) be a sequence of real numbers given by

Let \(A\) be an \(n\times n\) real matrix. Consider the following statements.

Consider the matrix

Let \(h:\mathbb{R}\to\mathbb{R}\) and \(g:\mathbb{R}\to\mathbb{R}\) be two bounded functions. Define the function \(f:\mathbb{R}\to\mathbb{R}\) by

Let \(f:\mathbb{R}\setminus\{0\}\to \mathbb{R}\) and \(g:\mathbb{R}\setminus\{0\}\to \mathbb{R}\) be two bounded and differentiable functions. Define \(F:\mathbb{R}^2\to \mathbb{R}\) by

The bounded region enclosed by the curve \(y=x^2+2\) and the line \(y=4x-1\) is revolved about the \(x\)-axis to generate a solid. The volume of the generated solid equals

Consider the function \(f:\mathbb{R}^2 \to \mathbb{R}\) given by

Let \(f:\mathbb{N}\to\{1,2,3,\ldots,100\}\) be an onto function. Consider the following statements.

Let \(A\) be a \(2\times2\) real symmetric matrix such that the trace of \(A\) is \(6\) and the determinant of \(A\) is \(5\). Which one of the following statements is true?

Let \(g:\mathbb{R}\to\mathbb{R}\) be a function defined by

If \(R\) denotes the radius of convergence of the power series