Test Details

Introduction to Trigonometry,Probability

Jan 28, 12:00 PM

25 minutes

Jan 28, 12:25 PM

15.0 marks

MCQ

15 questions

Mahla Sir

I have completed B.Tech from AIT Pune

Class Details

Mathematics

9th class

Mathematics

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Question Text

Question 1 :
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number between 1 to 15. What is the probability that it will point to an odd number.

Question 3 :
If the odd in favour of an event are $4$ to $7$, find the probability of its no occurence.

Question 4 :
Two dice are thrown. Find the odds in favour of getting the sum $4$.<br/>

Question 5 :
A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blueand 1 is black?

Question 6 :
If $\sin \theta + \cos\theta = 1$, then what is the value of $\sin\theta \cos\theta$?

Question 7 :
find whether ${ \left( \sin { \theta  } +co\sec { \theta  }  \right)  }^{ 2 }+{ \left( \cos { \theta  } +\sec { \theta  }  \right)  }^{ 2 }=7+\tan ^{ 2 }{ \theta  } +\cos ^{ 2 }{ \theta  } $ is true or false.

Question 9 :
If $\displaystyle x=y\sin \theta \cos \phi ,y=\gamma \sin \theta \sin \phi ,z=\gamma \cos \theta $. Eliminate  $\displaystyle \theta $ and  $\displaystyle \phi $

Question 11 :
IF $ \displaystyle \tan \theta =\sqrt{2}    $ , then the value of $ \displaystyle \theta     $ is 

Question 12 :
If $\sec{2A}=\csc{(A-42^\circ)}$ where $2A$ is acute angle then value of $A$ is

Question 13 :
Given $\cos \theta = \dfrac{\sqrt3}{2}$, which of the following are the possible values of  $\sin 2 \theta$?

Question 14 :
Value of ${ cos }^{ 2 }{ 135 }^{ \circ  }$

Question 15 :
If $\displaystyle \tan { \theta  } =\frac { 1 }{ 2 } $ and $\displaystyle \tan { \phi  } =\frac { 1 }{ 3 } $, then the value of $\displaystyle \theta +\phi $ is:

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