+2 HSC Maths - Practice Questions

Question series from 20 to 26 are provided below. For more questions, refer to 'Related Post' section.

20) The are of the parallelogram having a diagonal $ 3\overrightarrow{i}+\overrightarrow{j}-\overrightarrow{k} $ and a side $ \overrightarrow{i}-3\overrightarrow{j}+4\overrightarrow{k} $ is:

a) $ 10\sqrt{3} $

b) $ 6\sqrt{30} $

c) $ \frac{3}{2}\sqrt{30} $

d) $ 3\sqrt{30} $



21) In the set of integers under the operation * defined by $ a*b=a+b-1 $, the identity element is

a) 0

b) 1

c) a

d) b



22) $ \mu_{2}=20 $, $ \mu_{2}=276 $ for a discrete random variable X. Then, the mean of the random variable X is:

a) 16

b) 5

c) 3

d) 1


23) The random variable X follows normal distribution, $ f(x)=ce^{-\frac{1}{2}\frac{(x-100)^2}{25}} $. Then the value of ‘c’ is:

a) $ \sqrt{2\pi} $

b) $ \frac{1}{\sqrt{2\pi}} $

c) $ 5\sqrt{2\pi} $

d) $ \frac{1}{5\sqrt{2\pi}} $



24) A discrete random variable X has probability mass function p(x), then

a) $ 0\leq p(x)\leq1 $

b) $ p(x)\geq 0 $

c) $ p(x)\leq1 $

d) 0< p(x)<1



25) In 16 throws of a die, getting an even number is considered a success. Then the variance of the success is:

a) 4

b) 6

c) 2

d) 256



26) The area of the region bounded by the graph of $ y = sin x $ and $ y = cos \;x $ between $ x = 0 $ and $ x = \frac{\pi}{4} $ is :

a) $ \sqrt2\;+\;1 $

b) $ \sqrt2\;-\;1 $

c) $ 2\sqrt2\;-\;2 $

d) $ 2\sqrt2\;+\;2 $


Refer to questions 1-6 , 7-12 and 13-19 here.