List of top Mathematics Questions asked in AP EAPCET

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A) : (1) \(+(1+2+4)+(4+6+9) +(9+12+16)+\ldots+(81+90+100)=1000\) 

Reason (R) : \(\displaystyle \sum_{r=1}^{n}\left(r^{3}-[r-1]^{3}\right)=n^{3}\) for any natural number \(n\)

In the light of the above statements, choose the correct answer from the options given below

Consider the following lists.
List-I List-II
(A) $f(x) = \frac{|x+2|}{x+2} , x \ne -2 $ (I) $[\frac{1}{3} , 1 ]$
(B) $(x)=|[x]|,x \in [R$ (II) Z
(C) $h(x) = |x - [x]| , x \in [R$ (III) W
(D) $f(x) = \frac{1}{2 - \sin 3x} , x \in [R$ (IV) [0, 1)
(V) { -1, 1}
If $z = x + iy , x , y \in R$ and the imaginary part of $\frac{\bar{z} - 1}{\bar{z} - i}$ is $1$ then the locus of $z$ is
Which of the following is divisible by $x^{2}-y^{2}, \forall x\ne y$?