EAMCET Mathematics Practice Test 023

Test Description

This Mathematics Practice Test is the twenty third 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) If the function

f : R \to R

is defined by

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

then f is

an injection but not a surjection
a surjection but not an injection
a bijection
neither injection nor surjection

(2 of 40)

The domain of the real valued function $f (x) = \frac{\sqrt{\log_{10} (\frac{x}{x - 2})}}{\sqrt{{[x]}^{2} - 5 [x] + 6}}$ is

(Here [x] denotes the greatest integer function)

$(- \infty, 0) \cup (2, \infty)$
$(2, \infty)$
$(- \infty, 2) \cup (4, \infty)$
$(4, \infty)$

(3 of 40) The range of the real valued function

f (x) = \frac{1}{x - |x|}

$(0, \infty)$
$(- \infty, 0)$
$(- \infty, 0) \cup (0, \infty)$
$(- \infty, \infty)$

(4 of 40) If

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

and

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

, then

A^{2} =

A-B
B-A
A+B
$B^{2}$

(5 of 40)

|\begin{matrix} 2 & 3 & 5 \\ 3 & 5 & 2 \\ 5 & 2 & 3 \end{matrix}| + |\begin{matrix} 1 & 1 & 1 \\ 7 & 11 & 13 \\ 49 & 121 & 169 \end{matrix}| =

(6 of 40) If

A = [\begin{matrix} k & 5 & 2 \\ 2 & - k & 5 \\ 5 & 2 & - k \end{matrix}]

and det A=190 then Adj A=

$[\begin{matrix} - 1 & 19 & 31 \\ 31 & - 19 & - 11 \\ 19 & 19 & - 19 \end{matrix}]$
$[\begin{matrix} - 1 & 31 & 19 \\ 19 & - 19 & 19 \\ 31 & - 11 & - 19 \end{matrix}]$
$[\begin{matrix} - 1 & 19 & 31 \\ - 31 & - 19 & - 11 \\ 19 & 19 & - 19 \end{matrix}]$
$[\begin{matrix} - 1 & - 31 & 19 \\ 19 & - 19 & 19 \\ 31 & - 11 & - 19 \end{matrix}]$

(7 of 40)

If the unique solution of the simultaneous linear equations 3x-2y+z=5k,

2x+3y-2z= -5k, x+4y+3z=k is $x = α, y = β, z = 3$ , then k=

1
2
-1
-2

(8 of 40) If the value of

\sqrt{- 5 - 12 i} + \sqrt{7 + 24 i}

is a negative real number k, then k=

-5
-7
-6
-4

(9 of 40) Let z=x+iy be a point in the Argand plane. If the amplitude of

(\frac{z - 3}{z + 2 i})

\frac{π}{2}

, then the locus of z is

a cirlce
a straight line
a semicircular are not containing the origin
a semicircular are containing the origin

(10 of 40) If a point P denotes the complex number z=x+iy in the Argand plane and if

\frac{z - (2 + i)}{z + (1 - 2 i)}

is purely real, then the locus of P is

the line x+3y-5=0 excluding the point (-1, 2)
the circle $x^{2} + y^{2} - x - 3 y = 0$ excluding the point (-1, 2)
the line x+3y-5=0 and the circle $x^{2} + y^{2} - x - 3 y = 0$ excluding the point (-1, 2)
the circle $x^{2} + y^{2} - 2 x - 6 y + 5 = 0$ excluding the point (-1, 2)

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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