EAMCET Mathematics Practice Test 020

Test Description

This Mathematics Practice Test is the twentyeth 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 a vector such that

a \times i = j + k

and

a . i = 1

, then equation of the line passing through the point

i + j + k

and parallel to

\vec{a}

$r = (t + 1) i + (1 - t) j + (t + 1) k$
$r = (t + 1) i - (2 t - 1) j + t k$
$r = i + t j - t k$
$r = 5 t i + 7 t j + k$

(2 of 40) The equation of the normal at

t = \frac{π}{2}

to the curve x=2sin t, y=2cos t is

x=2
y=0
y=2x+3
y=3

(3 of 40)

\int \frac{\sin^{8} x - \cos^{8} x}{1 - 2 \sin^{2} x c o s^{2} x} d x =

$\frac{1}{2} \cos 2 x + c$
$\frac{- 1}{2} \cos 2 x + c$
$\frac{- 1}{{(1 + \tan x)}^{2}} + c$
$\frac{- 1}{2} \sin 2 x + c$

(4 of 40)

\int_{1 / 2}^{2} |\log_{10} x| d x =

$\log_{10} (\frac{8}{e})$
$\frac{1}{2} \log_{10} (\frac{8}{e})$
$\log_{10} (\frac{2}{e})$
$\log_{e} (\frac{3}{e})$

(5 of 40) Two tangents are drawn from the point (-1,-2) to the parabola

y^{2} = 4 x

. If

θ

is the angle between these tangents, then

\tan θ =

$\frac{π}{4}$
$\frac{π}{2}$
$\frac{π}{3}$
$\frac{π}{6}$

(6 of 40) If

f : [2, \infty) \to ℝ

is defined by

f (x) = x^{2} - 4 x + 5

, then the range of f is

$ℝ$
$[1, \infty)$
$[4, \infty)$
$[5, \infty)$

(7 of 40) If

A = [\begin{matrix} 5 & 5 α & α \\ 0 & α & 5 α \\ 0 & 0 & 5 \end{matrix}]

and

\det (A^{2}) = 25

, then

|α| =

5
$5^{5}$
1
$\frac{1}{5}$

(8 of 40) If

\frac{1 + i \cos θ}{1 - 2 i \cos θ}

is purely real then

\cos^{3} θ + \sin^{2} θ + \cos θ + 1 =

0
1
2
$\frac{3}{4} (2 + \sqrt{2})$

(9 of 40) If

θ = \frac{π}{6}

, then the

10^{t h}

term of the series

1 + {(\cos θ + i \sin θ)}^{1} + {(\cos θ + i \sin θ)}^{2} + . . .

-1
-i
$\frac{1}{2} + \frac{\sqrt{3} i}{2}$
1

(10 of 40) If (x-2) is a common factor of the expressions

x^{2} + a x + b

and

x^{2} + c x + d

, then

\frac{b - d}{c - a} =

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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