EAMCET Mathematics Practice Test 016

Test Description

This Mathematics Practice Test is the sixteenth 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 A is the domain and B is the range of the function

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

, then A - B=

$(1, \infty)$
$(- \infty, 1)$
$ℝ - (- 1, 1)$
(-1,1)

(2 of 40) If

f : ℝ \to ℝ

and

g : ℝ \to ℝ

are defined by

f (x) = x^{3} - x and g (x) = \sin 2 x

, then the value of

x \in (0, 2 π)

that satisfy

f (g (x)) > 0

, lie in the interval

$(\frac{π}{2}, π)$
$(0, \frac{π}{2}) \cup (\frac{π}{2}, π)$
$(\frac{π}{2}, \frac{3 π}{4}) \cup (\frac{3 π}{4}, π)$
$(- \frac{π}{2}, \frac{π}{2})$

(3 of 40) If

(\begin{matrix} α \\ β \\ γ \end{matrix}) = (\begin{matrix} \cos θ & - \sin θ & 0 \\ \sin θ & \cos θ & 0 \\ 0 & 0 & 1 \end{matrix}) (\begin{matrix} x \\ y \\ z \end{matrix})

, then

\frac{x^{2} + y^{2} + z^{2}}{γ} =

$\frac{α^{2} + β^{2} + γ^{2}}{z}$
0
$αβ + βγ + γα$
$1 + α^{2} + β^{2} + γ^{2}$

(4 of 40) If

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

B = (\begin{matrix} - 1 \\ - 2 \\ 4 \end{matrix})

and

[\begin{matrix} x & y & z \end{matrix}] A^{T} = B^{T}

, then x+y+z=

4
-2
6
3

(5 of 40) If A and B are non-singular matrices and det (AB) = (det A) (det B), then

((\det A) (\det B)) B^{- 1} A^{- 1} =

Adj (BA)
Adj (A)+Adj (B)
Adj (AB)
(Adj B) (Adj A)

(6 of 40) If z=x+iy represents a point in the Argand plane, then a point which is not in the region represented by

|z - 1 + i| \leq 2

$\frac{1 - i}{2}$
1
$\frac{1 - i}{4}$
i

(7 of 40) Let the locus of a point z in the Argand plane satisfying the condition

Re (z^{2}) = 4

be C1 and the locus of z satisfying the condition

Im (z^{2}) = 4

be C2. Then the number of common points of the two curves

C_{1} and C_{2}

are

(8 of 40) If

ω

is a complex cube root of unity, then

\sin [(ω^{10} + ω^{23}) π - \frac{π}{4}] =

$\frac{1}{\sqrt{2}}$
1/2
1
$\frac{\sqrt{3}}{2}$

(9 of 40) If z is a point on the circle |z|=1 with

Arg (z) = \frac{π}{6}

, then

\frac{z^{12} + 1 - z^{6}}{z^{12} + {iz}^{6} - 1} =

2+3i
3i
3+2i
4+3i

(10 of 40) If

α, β and γ

are the roots of the equation

x^{3} + {ax}^{2} + bx + c = 0

, then the roots of the equation

x^{3} + (2 b - a^{2}) x^{2} + (b^{2} - 2 ac) x - c^{2} = 0

are

$α^{3}, β^{3}, γ^{3}$
${(α + 1)}^{2}, {(β + 1)}^{2}, {(γ + 1)}^{2}$
$α^{2}, β^{2}, γ^{2}$
${(α - 1)}^{2}, {(β - 1)}^{2}, {(γ - 1)}^{2}$

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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