AIEEE Mathematics Test 1

Jump To Content

Community

Correct	Answer Text
	$[2, \infty)$
	{2}
	$(-\infty,2]$
	[0, 2]

Correct	Answer Text
	1/z
	none of these
	$1/\bar {z}$
	$\bar {z}$

A shopkeeper sells three varieties of perfumes and he has a large number of bottles of the same size of each variety in his stock. There are 5 places in a row in his showcase. The number of different ways of displaying the three varieties of perfumes in the show case is

Answers

Correct	Answer Text
	6
	150
	none
	50

Question

Let $f_n(\emptyset)=\tan \frac{\emptyset}{2}(1+\sec \emptyset)(1 + \sec 2\emptyset)(1 + \sec 4\emptyset)\cdots(1 + \sec 2^n\emptyset)$ , then

Answers

Correct	Answer Text
	$f_3(\pi/32)=-1$
	$f_2(\pi/16)=1$
	$f_4(\pi/64)=1$
	$f_5(\pi/128)=1$

Question

The most general solution of $2^{\sin x}+2^{\cos x}=2^{1-\frac{1}{\sqrt{2}}}$ are

Answers

Correct	Answer Text
	$n \pi+(-1)^n\frac{\pi}{4}$
	$n \pi-\frac{\pi}{4}$
	$2n \pi+\frac{\pi}{4}$
	$n \pi+\frac{\pi}{4}$

Question

Let [x] denotes greatest integer $\underline < x.$ Then
$Lt \frac {1}{n\rightarrow \infty n^3}\{[1^2x]+[2^2x]+[3^2x]+\cdots[n^2x]\}$ equal to

Answers

Correct	Answer Text
	x/2
	x/3
	0
	x/4

Question

In an obtuse angled triangle, the obtuse angle is $3\pi/4$ and the other two angles are equal to two values of $\emptyset$ satisfying $a \tan \emptyset + b \sec \emptyset = c$

where $|b| \underline < \sqrt{a^2+c^2}$ then a^2-c^2

is equal to

Answers

Correct	Answer Text
	a/c
	none
	2ac
	ac

Question

The value of p for which the functions

$f(x)=\frac {(4^x-1)^3}{\sin (x/p) \log \{1+(x^2/3)\}} \qquad x \not=0$

$12(\log 4)^3 \qquad x=0$

may be continuous at x= 0 is

Answers

Correct	Answer Text
	1
	2
	none
	3

Question

Let

, being a non-negative integer. The value of n which in equality

f' (a+b)=f'(a)+f'(b)

is valid for all a, b >0 is

Answers

Correct	Answer Text
	5
	2
	4
	1

Question

Consider a circle with its centre lying on the focus of the parabola y^2 = 2 px

such that it touch the directive of the parabola. Then a point of intersection of the circle and the parabola is

Answers

Correct	Answer Text
	$\big(\frac {-p}{2},-p\big)$
	$\big(\frac {p}{2},-p\big)$
	$\big(\frac {-p}{2},p\big)$
	$\big(\frac {p}{2},p\big)$

Test Statistics

Rating Likes 5 Negative 0

Your Actions

Rate Up Down

Published In…

Become A Leader

Start Your Own Community

Who Can You Trust?

Top Authorities

Teach & Learn

Trivia

What’s New?

Latest Community News

Help

Support Community

About

Quote of The Moment

“An educated person is one who has learned that information almost always turns out to be at best incomplete and very often false, misleading, fictitious, mendacious - just dead wrong.”

— Russell Baker

Valid XHTML 1.0 Strict

LearnHub

Sign In or Sign Up

Community

ACME Education

Primary Navigation