EAMCET Mathematics Practice Test 004

Test Description

This Mathematics Practice Test is the fourth 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) Let

A \subseteq ℝ

B \subseteq ℝ

and

f : A \to B

be defined by

f (x) = x^{2} - 3 x + 2

. If f is a bijection, then

$A = (- \infty, 0], B = (- \infty, \frac{- 1}{4}]$
$A = (- \infty, \frac{3}{2}], B = [\frac{- 1}{4}, \infty)$
$A = [\frac{3}{2}, \infty), B = (- \infty, \frac{- 1}{4}]$
$A = (- \infty, \infty), B = [\frac{- 1}{4}, \infty)$

(2 of 40) If

f : ℝ \to ℝ

is defined by f(x+y) = f(x) + f(y)

\forall x, y \in ℝ

and f(1) = 7, then

Σ_{r = 1}^{n} f (r) =

$\frac{3 n (n + 2)}{4}$
$\frac{n (n - 1)}{2}$
$\frac{7 n (n + 1)}{2}$
$\frac{(n + 1) (n + 2)}{4}$

(3 of 40) Let

A = (\begin{matrix} - \cot θ & cosec θ \\ cosec θ & - \cot θ \end{matrix})

. If

A^{- 1} = A

θ = θ_{1}

and

A^{- 1} + A = O

θ = θ_{2}

, then which one of the following is true

$θ_{1} = \frac{π}{2}, θ_{2} = π$
$θ_{1} = \frac{π}{2}$ , such $θ_{2}$ does not exist
$θ_{1} = \frac{π}{4}, θ_{2} = \frac{π}{2}$
such $θ_{1}$ does not exist, $θ_{2} = π$

(4 of 40) A matrix whose elements

a_{ij}

are defined by

a_{ij} = \frac{1}{3} |i - 5 j|

, i, j = 1,2,3 is

$[\begin{matrix} 4 & 3 & \frac{14}{3} \\ 1 & \frac{8}{3} & 13 \\ \frac{2}{3} & \frac{7}{3} & 4 \end{matrix}]$
$[\begin{matrix} \frac{4}{3} & 3 & \frac{14}{3} \\ 1 & \frac{8}{3} & \frac{13}{3} \\ \frac{2}{3} & \frac{7}{3} & 4 \end{matrix}]$
$[\begin{matrix} \frac{4}{3} & 3 & \frac{10}{3} \\ 1 & \frac{8}{3} & \frac{13}{3} \\ 2 & 7 & 4 \end{matrix}]$
$[\begin{matrix} 4 & 3 & 10 \\ 1 & 8 & 13 \\ 2 & 7 & 4 \end{matrix}]$

(5 of 40) If P, Q and R are

3 \times 3

matrices such that

$[\begin{matrix} 3 x^{2} + x + 3 & 2 x^{2} - x + 4 & 7 x^{2} + 8 x + 5 \\ 5 x^{2} + 3 x + 2 & 4 x^{2} - 2 x - 1 & 7 x^{2} + 5 x + 8 \\ 3 x^{2} + 2 x + 5 & 4 x^{2} - x - 2 & 3 x^{2} + 8 x + 7 \end{matrix}] = {Px}^{2} + Qx + R$ , then det R=

(6 of 40) If C is a point on the straight line joining the points A(-2+i) and B(3-4i) in the Argand plane and

\frac{AC}{CB} = \frac{1}{2}

, then the argument of C is

${Tan}^{- 1} 3$
${Tan}^{- 1} 2 - π$
${Tan}^{- 1} 2$
$π - {Tan}^{- 1} 3$

(7 of 40) If

α

is the modulus of

z_{1} = 4 + 3 i

, then a point that does not lie in the region represented by

|z - z_{1}| \leq α

$z_{1} - 2 i$
$z_{1}$
$2 z_{1} - 7 i$
$3 z_{1} - (10 + 8 i)$

(8 of 40) If

z_{1}, z_{2}, z_{3}

are the vertices of an equilateral triangle and z is its circum centre, then

$\frac{|z - z_{1}|}{|z - z_{2}|} = \frac{|z - z_{3}|}{|z - z_{1}|}$
$|z - z_{1}| + |z - z_{2}| + |z - z_{3}| = 0$
$\frac{|z - z_{1}|}{|z - z_{2}|} = |z - z_{3}|$
$\frac{|z - z_{1}| + |z - z_{2}|}{|z - z_{3}|} = 1$

(9 of 40) If a and b are the roots of the equation

y^{2} + y + 1 = 0

, then the value of

a^{4} + b^{4} + a^{- 1} b^{- 1}

(10 of 40) If

x^{2} + x - 6

is a factor of

2 x^{3} + x^{2} + ax + b

, then 6a+13b=

305
133
0
-1

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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