List of top Questions asked in AP ECET BSc Mathematics

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