List of top Mathematics Questions asked in AP ECET BSc Mathematics

Consider the matrix \(A=\begin{bmatrix}2& 3x& y\end{bmatrix}\). If the eigen values of \(A\) are \(4\) and \(8\), then

If \(T_1:R^3\to R^2\) and \(T_2:R^2\to R^2\) are two linear transformations defined by \(T_1(x,y,z)=(3x,4y-z)\) and \(T_2(x,y)=(-x,y)\), then \(T_2T_1\) is

Let \(T:R^2\to R^2\) be a linear transform. If \(T(1,2)=(2,3)\) and \(T(0,1)=(1,4)\), then \(T(5,6)=\)

If the system of equations \(6x-2y=3\) and \(kx-y=2\) has a unique solution, then \(k\) is not equal to

The system of linear equations \(2x+y+z=0,\ y-z=0,\ x+y=0\) has

Which of the following is not an integral domain?

If \(\phi:\mathbb{Z}_7\to \mathbb{Z}_{12}\) is defined such that \(\phi(a)=4a\), then \(\phi\) is

If \(W\) is a subspace of a finite dimensional vector space \(V\), then \(\dim\left(\dfrac{V}{W}\right)=\)

Which of the following set is linearly dependent set in \(R^3(R)\)?

If \(W_1,W_2\) are two subspaces of a vector space \(V(F)\), then \(L(W_1\cup W_2)=\)

Which of the following statement is NOT CORRECT?

Let \(R=\{0,1,2,3\}\), under addition and multiplication modulo \(4\) is

The number of ideals in the ring \(\mathbb{Z}_{37}\) is

If \(f,g\) are bounded functions defined on \([a,b]\) and let \(P\) be any partition of \([a,b]\), then which of the following is NOT TRUE?

The characteristic of the ring \((\mathbb{Z}_6,+_6,\times_6)\) is

Which of the following function is continuous but not uniformly continuous on the real line?

If \(f(x)=\sin\left(\dfrac{1}{x}\right)\), then \(f(x)\) is _ _ _ _ in \((0,2\pi]\).

If \(f(x+y)=f(x)f(y),\ \forall x,y\), suppose \(f(3)=3\) and \(f'(0)=11\), then \(f'(3)=\)

The value of \(C\) of Rolle's theorem for the function \(f(x)=\sin x\) in \([0,\pi]\) is

If \(f(x)=1\) when \(x\in Q\) and \(f(x)=-1\) when \(x\in R-Q\), then

If \(f:[a,b]\to R\) is Riemann integrable, then

The function \(f(x)=|x+2|\) is not differentiable at a point

The function \(f(x)=x|x|\) is

\(\displaystyle \lim_{n\to \infty}\frac{2^{n+1}+3^{n+1}}{2^n+3^n}=\)

The values of infimum and supremum of the set \(S=\{x\in \mathbb{R}:x^3\leq x\}\) are