JEE Mains 2022 Maths Phase 1 Most Easiest Questions Solution

JEE Main 2022 query papers with solutions for session Phase 1 (24-08-22) are up to date on this page. These JEE main 2022 query papers and solutions will assist you to analyze your performance during the examination. That approach that applicants who’ve already seemed for the JEE essential examination can use the answers to test the suitable answers and pick out their errors (if any).

JEE Mains 2022 Phase 1 Most Easiest Mathematics Questions Solution

They can additionally estimate their tentative marks and ranks. On the other hand, JEE 2022 aspirants can utilize these query papers to apprehend the paper sample, trouble level, and the form of questions requested inside the Joint Entrance Examination.

1. Let $A=\{z \in \mathbf{C}: 1 \leq|z-(1+i)| \leq 2\}$ and $B=\{z \in A$ $:|z-(1-i)|=1\}$ . Then, $B$ :
(A) Is an empty set
(B) Contains exactly two elements
(C) Contains exactly three elements
(D) Is an infinite set

2.The remainder when $3^{2022}$ is divided by 5 is:
(A) 1
(B) 2
(C) 3
(D) 4

3. The surface area of a balloon of the spherical shape being inflated, increases at a constant rate. If initially, the radius of the balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :
(A) 9
(B) 10
(C) 11
(D) 12

5.Let $x^{2}+y^{2}+A x+B y+C=0$ be a circle passing through (0,6) and touching the parabola $y=x^{2}$ at (2,4). Then A+C is equal to
(A) 16
(B) $\frac{88}{5}$
(C) 72
(D) -8

6. The number of values of $\alpha$ for which the system of equations:
$\begin{array}{l} x+y+z=\alpha \\ \alpha x+2 \alpha y+3 z=-1 \\ x+3 \alpha y+5 z=4 \end{array}$ is inconsistent, is
(A) 0
(B) 1
(C) 2
(D) 3

9.Let $S=\{\sqrt{n}: 1 \leq n \leq 50$ and $n$ is odd $\}$ .
Let $a \in S$ and $A=\left[\begin{array}{ccc}1 & 0 & a \\ -1 & 1 & 0 \\ -a & 0 & 1\end{array}\right]$
If $\sum_{a \in S} \operatorname{det}(\operatorname{adj} A)=100 \lambda$ , then $\lambda$ is equal to :
(A) 218
(B) 221
(C) 663
(D) 1717