# Mathematics - Objective Type Questions - Plus Two - Collection 1

In this post, we present some sample objective type questions that can be asked in the higher secondary mathematics examination. There are a total of 40 one mark questions divided into sets of 8. It is really worth giving a good practice on these questions as this would equip the candidate well for the final examination.

1) If A =

$\begin{bmatrix} 1\\ 2 \\ 3 \end{bmatrix}$

then the value of AAT is

a) 3
b) 0
c) 1
d) 2

2) If the matrix

$\begin{bmatrix} -1 &3 &2 \\ 1 & k &-3 \\ 1 &4 &5 \end{bmatrix}$

has an inverse then the values of K

a) k is any real number
b) k = -4
c) k ≠ -4
d) k ≠ 4

3) If the equation -2x+y+z=l, x-2y+z=m, x+y-2z=n such that l+m+n=0, then the system has

a) a non-zero unique solution
b) trivial solution
c) Infinitely many solutions
d) No Solution

4) Which of the following is not true regarding the non-singular matrices A, B

a) A (adj A) = (adj A) A
b) (AB)-1= B-1A-1
c) (AB)T = BTAT
d) (AT)-1≠ (A-1)T

5) If $\underset{a}{\rightarrow}$ and $\underset{b}{\rightarrow}$ are two unit vectors and ϴ is the angle between them, then ($\underset{a}{\rightarrow}$ + $\underset{b}{\rightarrow}$ ) is a unit vector if
a) ϴ=��/3     b)  ϴ=��/4    c) ϴ=��/2    d) ϴ=2��/3
6) The shortest distance of the point (2,10,1) from the plane $\underset{r}{\rightarrow}$ .(3$\underset{i}{\rightarrow}$ - $\underset{j}{\rightarrow}$ + 4$\underset{k}{\rightarrow}$ ) = 2    is

a) $2\sqrt{26}$

b)

c) 2

d)

7) If the magnitude of moment about the point $\underset{j}{\rightarrow}$ + $\underset{k}{\rightarrow}$ of a force $\underset{i}{\rightarrow}$ + a $\underset{j}{\rightarrow}$ - $\underset{k}{\rightarrow}$ acting through the point $\underset{i}{\rightarrow}$ + $\underset{j}{\rightarrow}$ is then the value of a is

a) 1
b) 2
c) 3
d) 4

8) If the points (3, 2, - 4), (9, 8, - 10) and ($, 4, - 6) are collinear then$ is

a) 5
b) -5
c) 5/2
d) 10

Check out part 2 here.