Free Printable xi trigonometry and permutations and combinations

1.

In how many ways a committee of 4 members be selectedfrom 5 men and 4 women ?

a)

120

b)

126

c)

124

d)

140

2.

How many chords can be drawn through 15 points on a circle ?

a)

100

b)

150

c)

135

d)

105

3.

In how many ways can the letters of the woed 'HONESTY' be arranged ?

a)

5040

b)

5020

c)

5000

d)

5050

4.

From among the 50 teachers in a school, one principal and two vice principals are to be appointed.In how mny ways can this be done ?

a)

11789

b)

11760

c)

117600

d)

117780

5.

Principal solutions of

\tan\ \theta\ =\ 1

a)

$\frac{\pi}{4}$

b)

\frac{\pi}{4}

c)

\frac{\pi}{4}

d)

$\frac{5\pi}{4}$

6.

$Find\ value\ of\cot\ \left(-\frac{15\pi}{4}\right)$

a)

-1

b)

$\frac{1}{4}$

c)

1

d)

not defined

7.

Find the principal solution of the equation, cos x= $\frac{\sqrt{ }3}{2}$

a)

$x=\frac{\pi}{9},\ \frac{13\pi}{26}$

b)

$x=\frac{\pi}{3},\ \frac{2\pi}{3}$

c)

$x=\frac{\pi}{6\ }\ \ ,\ \frac{11\pi}{6}$

d)

$x=\frac{\pi}{6},\ \frac{12\pi}{6}$

8.

Find the value of sin(-330°).

a)

$\frac{1}{4}$

b)

-1

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

xi trigonometry and permutations and combinations

Total questions: 8

Worksheet time: 20mins

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