List of top Mathematics Questions asked in AP ECET BSc Mathematics

Which of the following is NOT TRUE?

If \(\vec F(t)\) has constant direction, then

Let \(G\) be a finite group. Then \(G\) is necessarily a cyclic group if the order of \(G\) is

If \(f:(Z,+)\to(5Z,+)\) is defined by \(f(x)=5x,\ \forall x\in G\), then which of the following is NOT CORRECT?

If \(H,K\) are subgroups of \(G\), order of \(H\) is \(24\) and order of \(K\) is \(55\), then \(O(H\cap K)=\)

If \(f:G\to G'\) is an onto homomorphism with kernel \(K\), then

Let \(H=\{1,15\}\) is a subgroup of a group of order \(8\). Then the number of all left cosets of \(H\) in \(G\) is

If \(\vec r=x\hat i+y\hat j+z\hat k\) and \(r=|\vec r|\), then the value of \(\operatorname{div}\left(\dfrac{\vec r}{r^3}\right)\) is

The particular integral of \((D^2-1)y=4\cosh x\) is

If \(N\) be the set of natural numbers and \(*\) is a binary operation defined by \(a*b=a+b\), then \((N,*)\) is

Which of the following is true for all non-abelian groups?

The number of subgroups of \(Z_{48}\) is

The order of the permutation \(\begin{pmatrix}1& 2& 3& 4& 5& 6\\2& 4& 6& 5& 1& 3\end{pmatrix}\) is

The congruence \(10x \equiv 15 \pmod{35}\) has

The differential equation whose C.F. is \(y=c_1\cos 2x+c_2\sin 2x+c_3e^{-x}\) is

Particular integral of \(\left(\dfrac{d^3}{dx^3}+4\dfrac{d}{dx}\right)y=\sin 2x\) is

Complementary function of the differential equation \(\dfrac{d^2x}{dt^2}+4x=a\sin t\cos t\) is

Which of the following is the singular solution of \(p=\log(px-y)\), \(p=\dfrac{dy}{dx}\)?

The particular integral of \((D^2-4D+4)y=\cos 2x\) is

Which of the following is the differential equation whose auxiliary roots are \(0,-1,-1\)?

The particular integral of \(\dfrac{d^2y}{dx^2}-2\dfrac{dy}{dx}+y=e^x\sin x\) is

Which of the following is NOT a solution of the differential equation \(\dfrac{d^2y}{dx^2}+y=1\)?

The solution of the differential equation \(3y\dfrac{dy}{dx}+2x=0\) represents a family of

Which of the following is a solution of the differential equation \(\dfrac{d^2y}{dx^2}+4\dfrac{dy}{dx}+4y=0\)?

The solution for the differential equation \(\dfrac{d^2y}{dx^2}=3x-2\) with boundary conditions \(y(0)=2\) and \(y'(1)=-3\) is