EAMCET Mathematics Practice Test 014

Test Description

This Mathematics Practice Test is the fourteenth 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) The range of real valued function

f (x) = \sqrt{9 - x^{2}}

[-3,3]
[-3,0]
[0, 3]
[-2, 2]

(2 of 40) If

f : ℝ \ \{0\} \to ℝ

is defined by

f (x) = x + \frac{1}{x}

, then the value of

{(f (x))}^{2} =

$f (x) + f (0)$
$f (x^{2}) + f (2)$
$f (x^{3}) + f (0)$
$f (x^{2}) + f (1)$

(3 of 40) If

A = [\begin{matrix} 2 & 0 & - 3 \\ 4 & 3 & 1 \\ - 5 & 7 & 2 \end{matrix}]

is expressed as a sum of a symmetric matrix P and skew symmetric matrix Q, then

P^{T} - Q^{T} =

$[\begin{matrix} 8 & - 16 & - 4 \\ 2 & 8 & 7 \\ 6 & 14 & - 16 \end{matrix}]$
$[\begin{matrix} 2 & 0 & - 3 \\ 4 & 3 & 1 \\ - 5 & 7 & 2 \end{matrix}]$
$[\begin{matrix} 2 & 4 & - 5 \\ 0 & 3 & 7 \\ - 3 & 1 & 2 \end{matrix}]$
$[\begin{matrix} 1 & 0 & - 3 / 2 \\ 2 & 3 / 2 & 1 / 2 \\ - 5 / 2 & 7 / 2 & 1 \end{matrix}]$

(4 of 40) If

A + 2 B = (\begin{matrix} 1 & 2 & 0 \\ 6 & - 3 & 3 \\ - 5 & 3 & 1 \end{matrix})

and

2 A - B = (\begin{matrix} 2 & - 1 & 5 \\ 2 & - 1 & 6 \\ 0 & 1 & 2 \end{matrix})

, then Tr[A]-Tr[B]=

(5 of 40) The sum of the distinct values of x for which the matrix

A = [\begin{matrix} 1 & 1 & x \\ 1 & x & 1 \\ x & 1 & 1 \end{matrix}]

has no inverse, is

4
3
2
-1

(6 of 40) If

- 3 + {ix}^{2} y and x^{2} + y + 4 i

are complex conjugates, then x=

0
$\pm 1$
$\pm 3$
$\pm 4$

(7 of 40) If

z = 1 + \cos θ - i \sin θ

and

0 < θ < π

, then

{[{|z - 1|}^{2} - \frac{{|z|}^{2}}{4}]}^{\frac{1}{2}} =

$\sqrt{2} \cos θ$
$\sqrt{2} \sin θ$
$\cos (\frac{θ}{2})$
$\sin (\frac{θ}{2})$

(8 of 40) In the Argand plane, the values of z satisfying the equation |z-1|=|i(z+1)| lie on

the Y-axis
a parabola
a Hyperbola
the X-axis

(9 of 40) If 1,

ω, ω^{2}

are the cube roots of unity and

(x + y) (xω + {yω}^{2}) ({xω}^{2} + yω) = f (x, y)

, then f(2, 3) =

(10 of 40) If the roots of the equation

3 x^{2} + 4 kx + 3 = 0

are non-real, then k lies in the interval

$[- 2, \frac{- 3}{2}]$
$[\frac{3}{2}, 2]$
$[- \frac{3}{2}, \frac{3}{2}]$
(2, 3)

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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