Question 1 :
If $\alpha , \beta $ are the roots of the equation $ax^{2}+bx+c=0$, find the value of $\alpha ^{2}+\beta ^{2}$.
Question 3 :
Divide the first expression by the second. Write the quotient and the remainder.<br/>$\displaystyle x^2-\frac{1}{4x^2}; x-\frac{1}{2x}$
Question 4 :
The product of the roots of the quadratic equation $2x^{2}-8x+3=0$ is
Question 5 :
State whether true or false:Divide: $4a^2 + 12ab + 91b^2 -25c^2 $ by $ 2a + 3b + 5c $, then the answer is $2a+3b+5c$.<br/>
Question 6 :
Choose the correct answer which satisfies the linear equation: $2a + 5b = 13$ and $a + 6b = 10$
Question 7 :
What is the equation of straight line passing through the point (4, 3) and making equal intercepts on the coordinate axes ?
Question 8 :
The survey of a manufacturing company producing a beverage and snacks was done. It was found that it sells orange drinks at $ $1.07$ and choco chip cookies at $ $0.78$ the maximum. Now, it was found that it had sold $57$ food items in total and earned about $ $45.87 $ of revenue. Find out the equations representing these two. 
Question 9 :
The values of x and y satisfying the two equation 32x+33y=31, 33x+32y=34 respectively will be
Question 10 :
In a zoo there are some pigeons and some rabbits. If their heads are counted these are $300$ and if their legs are counted these are $750$ How many pigeons are there?
Question 11 :
If the distance between the points $(4, p)$ and $(1, 0)$ is $5$, then the value of $p$ is:<br/>
Question 14 :
The coordinates of a point on the line y=x where perpendicular from the line 3x+4y=12 is 4 units, are
Question 15 :
If a point $P\left(\displaystyle\frac{23}{5}, \frac{33}{5}\right)$ divides line AB joining two points $A(3, 5)$ and $B(x, y)$ internally in ratio of $2:3$, then the values of x and y will be.
Question 17 :
State the following statement is True or False<br>35.251252253...is an irrational number<br>
Question 18 :
The LCM of 54 90 and a third number is 1890 and their HCF is 18 The third number is
Question 19 :
Use Euclid's division lemma to find the HCF of the following<br/>16 and 176
Question 20 :
The statement dividend $=$ divisor $\times$ quotient $+$ remainder is called 
Question 21 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.$13cm, 12cm, 5cm$
Question 22 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $b$ when $c=13 \ cm$ and $a=5 \ cm$.
Question 23 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $a$ when $c=25 \ cm$ and $b=7 \ cm$.
Question 24 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$50cm, 80cm, 100cm$
Question 25 :
$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$<br/><b>State whether the above statement is true or false.</b><br/>
Question 26 :
$r$ is the radius and $l$  is the length of an arc. The area of a sector is ______.
Question 27 :
State true or false:<br/>Sector is the region between the chord and its corresponding arc.
Question 28 :
If the radius of a circle is $\dfrac{7}{\sqrt{\pi}}$, what is the area of the circle (in $cm^2$)?
Question 29 :
If the radius of a circle is tripled, the ares becomes.
Question 30 :
A circular disc of radius 10 cm is divided into sectors with angles $ \displaystyle 120^{\circ}   $ and  $ \displaystyle 150^{\circ}   $ then  the ratio of the areas of two sectors is
Question 33 :
Eliminate $\theta$ and find a relation in x, y, a and b for the following question.<br/>If $x = a sec \theta$ and $y = a tan \theta$, find the value of $x^2 - y^2$.
Question 34 :
If $\theta$ increases from $0^0$ to $90^o$, then the value of $\cos\theta$: <br/>
Question 35 :
The expression$ \displaystyle \left (\tan \Theta +sec\Theta \right )^{2} $ is equal to
Question 36 :
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 37 :
The probability expressed as a percentage of a particular occurrence can never be
Question 39 :
The probability of an event happening and the probability of the same event not happening (or the complement) must be a <br/>
Question 40 :
According to the property of probability, $P(\phi) = 0$ is used for <br>
