Question 1 :
<span>Consider the equation:</span><br/><span>$\displaystyle y+7x=3x-2y+28$</span><div>What is the value of c if the equation is written in the form <span>$\displaystyle ax+by=c$<br/></span><br/></div>
Question 2 :
If 1.5x = 0.04y then what is the value of $\displaystyle \frac{y-x}{y+x}$ ?
Question 3 :
The taxi fare in a city is as follows : For the first kilometre, the fare is Rs.8 and for the subsequent distance it is Rs.5 per kilometre. Taking the distance covered as $x$ km and total fare as Rs.$y$, a linear equation for this information is _____.
Question 4 :
If $x=a+b$ and $y=a+2b$, then what is $a-b$, in terms of $x$ and $y$ ?
Question 5 :
From a two digit number N, we subtract the number with the digits reversed and find that the result is a positive perfect cube. Then:
Question 6 :
<div><span>State TRUE or FALSE</span><br/></div>One number is 5 more than seven times the other number.it can be represented by $x\, -\, 7y\, =\, 5$. <br/>
Question 7 :
<div><span>Father's age is $10$ more than twice age of his son. </span><span>What is the number of variables if the statement is written in the form of linear equation?</span></div>
Question 8 :
When simplified $\left ( x^{-1} + y^{-1} \right )^{-1}$ is equal to:
Question 9 :
<span>Cost of one apple is 3 times the cost of an orange. </span>This is an example of linear equation in ..... variables.
Question 10 :
<span>Write the following equations in the form $ax + by + c = 0 $, </span><span>where $a= -2,b=3$ and $c=-6$</span>
Question 11 :
If $cosec\,\theta=\dfrac{29}{21}$ where $0 < \theta < 90^0$, then what is the value of $4\sec\theta+4\tan\theta$ ?
Question 12 :
The value of $\cos ^{ 2 }{ 73 }^{o} +\cos ^{ 2 }{ 47 }^{o} -\sin ^{ 2 }{ 43 }^{o} +\sin ^{ 2 }{ 107 }^{o}$ is equal to :
Question 15 :
Which of the following is equal to $\sin x \sec x$?
Question 16 :
If $4\tan \theta = 3$, then $\dfrac {5\sin \theta + 3\cos \theta}{5\sin \theta - 3\cos \theta} = $
Question 17 :
If $\displaystyle \theta =45$ then $\displaystyle \frac { 2\tan { \theta } }{ 1+{ \tan }^{ 2 }\theta } $ is :
Question 18 :
If $\theta$ increases from $0^0$ to $90^o$, then the value of $\cos\theta$: <br/>
Question 19 :
If $\displaystyle \tan { \theta } =\frac { 10 }{ 24 } $, then $\displaystyle \sin { \theta } $ is equal to :