EAMCET Mathematics Practice Test 022

Test Description

This Mathematics Practice Test is the twenty second mock test in the series of many Mathematics tests. This test consists of 40 objective type questions from both Intermediate First Year and Intermediate Second Year Mathematics. This test provides questions in the format of Andhra Pradesh (AP) EAPCET and Telangana (TS) EAMCET.

This test is completely free, and students can attempt as many times as needed and help students in preparing for entrance tests and get admissions into various reputed colleges for Engineering.

Test Instructions

The test contains 40 multiple-choice questions.
Total time for the test is 0h 45m.
Each question carries equal marks.
There is no negative marking for wrong answers.
Use of calculator is not allowed.
Do not refresh the page during the test.
Make sure you have a stable internet connection.

Quick Test

(1 of 40) Which one of the following functions is a bijection?

$f : R - Z \to [0, 1]$ defined by $f (x) = \sqrt{x - [x]}$ . (Here [x] represents the greatest integer function)
$f : R \to (- \infty, 2)$ defined by $f (x) = 4 x - x^{2} - 3$
$f : (5, \infty) \to R - \{0\}$ defined by $f (x) = \frac{1}{\sqrt{x - 5}}$
$f : [0, 4] \to [0, 4]$ defined by $f (x) = \sqrt{16 - x^{2}}$

(2 of 40) The domain of the real valued function

f (x) = \frac{\sqrt{|x| - x}}{\sqrt{x - [x]}}

$ℤ$
$ϕ$
$ℝ - ℤ$
$ℝ$

(3 of 40)

The range of the function defined by

f (x) = \{\begin{cases} 2 x - 3, & i f x < - 1 \\ 1 - x^{2}, & i f - 1 \leq x \leq 1 \\ 3 x^{2} + 2, & i f x > 1 \end{cases}

$ℝ$
$(- \infty, - 5) \cup [0, 1] \cup (5, \infty)$
$(- \infty, - 1) \cup (1, \infty)$
$(- \infty, - 3) \cup (0, 1) \cup (3, \infty)$

(4 of 40) If

A = [\begin{matrix} b & a & 0 \\ c & 0 & b \\ a & a & b \end{matrix}]

and

B = [\begin{matrix} 0 & a & b \\ b & 0 & c \\ b & a & a \end{matrix}]

are two matrices such that

A B = [\begin{matrix} 2 & 2 & 7 \\ 1 & 8 & 5 \\ 3 & 6 & 10 \end{matrix}]

, then

a^{2} + b^{2} + c^{2} =

(5 of 40) If

A = [\begin{matrix} 1 & a & 3 \\ b & 2 & c \\ 3 & d & 4 \end{matrix}]

is a symmetric matrix and

B = [\begin{matrix} 0 & 5 & b \\ - 5 & 0 & - 7 \\ 6 & c & 0 \end{matrix}]

is a skew symmetric matrix, then AB=

$[\begin{matrix} 48 & 27 & 48 \\ 52 & 19 & 22 \\ - 59 & 43 & - 67 \end{matrix}]$
$[\begin{matrix} 48 & 26 & 36 \\ 32 & 19 & 22 \\ - 11 & 43 & - 67 \end{matrix}]$
$[\begin{matrix} 12 & 26 & 36 \\ 32 & 79 & 50 \\ - 11 & 43 & - 67 \end{matrix}]$
$[\begin{matrix} 12 & 32 & 41 \\ 32 & 19 & 22 \\ - 11 & 43 & - 67 \end{matrix}]$

(6 of 40) If the inverse of the matrix

A = [\begin{matrix} - 1 & - 3 & - 2 \\ 0 & 1 & 2 \\ 3 & 4 & 5 \end{matrix}]

A^{- 1} = [\begin{matrix} a_{1} & a_{2} & a_{3} \\ b_{1} & b_{2} & b_{3} \\ c_{1} & c_{2} & c_{3} \end{matrix}]

, then

a_{1} + c_{2} + b_{3} =

-6
$- \frac{2}{3}$
$\frac{2}{3}$
6

(7 of 40) If

x = α, y = β, z = γ

is the unique solution of the system of linear equations 2x-3y+5z =12, 5x+2y+3z =11 and x+2y-3z = -3 then

2 α + 5 β + 3 γ =

(8 of 40) If

i^{2} = - 1

then

{(1 + \sqrt{3} i)}^{2022} - {(\sqrt{3} - i)}^{2022} =

$2^{2023}$
0
$2^{2022}$
$3^{1011}$

(9 of 40) If

{(\frac{\sqrt{3} + i}{\sqrt{3} - i})}^{4} + {(\frac{\sqrt{3} - i}{\sqrt{3} + i})}^{4} = r c i s θ

, then one of the values of

\sqrt{r c i s θ}

$c i s (\frac{3 π}{4})$
$c i s (\frac{3 π}{2})$
$c i s (\frac{π}{3})$
$c i s π$

(10 of 40) If z = x + iy and the point P in the Argand plane represents z, then the locus of z satisfying the equation |z - 2| + |z - 2i| = 4 is

$4 x^{2} + 3 x y + 4 y^{2} - 6 x - 6 y + 8 = 0$
$3 x^{2} + 2 x y + 3 y^{2} - 8 x - 8 y + 6 = 0$
$3 x^{2} + 2 x y + 3 y^{2} - 8 x - 8 y = 0$
$4 x^{2} + 3 x y + 4 y^{2} - 6 x - 6 y = 0$

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Test Details

Duration

0h 45m

Questions

40 Multiple Choice Questions

Passing Score

N/A% or higher to pass

Attempts

Unlimited attempts allowed

Total Runs

100