List of top Questions asked in AP ECET BSc Mathematics

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 \(L(W_1\cup W_2)=\)

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?

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

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

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

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

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

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

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

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

The radius of the sphere whose centre is \((4,4,-2)\) and which passes through origin is

If a plane passes through a fixed point \((a,b,c)\) and cuts the axes in \(A,B,C\), then the locus of the centre of the sphere \(OABC\) is

The equation of the sphere passing through \((1,0,0),(0,1,0),(0,0,1)\) and has its centre on the plane \(x+y+z=6\) is

The angle of intersection of the two spheres \(x^2+y^2+z^2+6y+2z+8=0\) and \(x^2+y^2+z^2+6x+8y+4z+20=0\) is