AIEEE Mathematics Test 2 [Test]

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AIEEE Mathematics Test 2

Correct	Answer Text
	-3
	-5
	none
	2

If $A=\Bigg[\overset{0}{\underset{b}{-c}}\quad \overset{c}{\underset{-a}{0}} \quad \overset{-b}{\underset{0}{a}}\Bigg]$ and $B=\Bigg[\overset{a^2}{\underset{ac}{ab}} \quad \overset{ab}{\underset{bc}{b^2}} \quad \overset{ac}{\underset{c^2}{bc}}\Bigg]$ , then AB is equal to

Answers

Correct	Answer Text
	B
	0
	A
	1

Question

If A is any matrix, then the product AA i.e. A^2

is defined only when A is matrix of order

Answers

Correct	Answer Text
	m = n
	$m \underline > n$
	m > n
	m < n

Question

The value of $\cos [2 \cos^{-1}x + \sin^{-1}x]$ at x=1/5

[where $0 \underline < \cos^{-1}x \underline < \pi$ , and $-\frac {\pi}{2} \underline < \sin^{-1} x \underline < \frac {\pi}{2}]$

Answers

Correct	Answer Text
	$\sqrt {\frac {6}{25}}$
	$-\frac {2}{5}\sqrt {6}$
	$\frac {\sqrt{20}}{5}$
	none of these

Question

If $f(x)= \sin^px.\cos^qx (p, q>0, 0<x < \pi/2)$ has a point of maxima as

Answers

Correct	Answer Text
	none of these
	no such points exist
	$x=\tan^{-1}\sqrt{\frac{p}{q}}$
	$x=\tan^{-1}\sqrt{\frac{q}{p}}$

Question

The locus of a point which moves so that the difference of its distances two fixed straight lines which are at right angles is equal to the distance from another fixed straight line is

Answers

Correct	Answer Text
	an ellipse
	a straight line
	a parabola
	a circle

Question

A candidate is required to answer 6 out of 10 questions which are divided into two groups each containing 5 questions and he is not permitted to attempt more that 4 from each group. The number of ways he can make up his choice

Answers