Question 1 :
If the roots of ${ x }^{ 2 }-2mx+{ m }^{ 2 }-1=0$ lie between $-2$ and $4$, then
Question 2 :
If $\alpha , \beta $ are the roots of the equation $ax^{2}+bx+c=0$, find the value of $\alpha ^{2}+\beta ^{2}$.
Question 3 :
If the system of equation, ${a}^{2}x-ay=1-a$ & $bx+(3-2b)y=3+a$ possesses a unique solution $x=1$, $y=1$ then:
Question 4 :
Equation of a straight line passing through the point $(2,3)$ and inclined at an angle of $\tan^{-1}\dfrac{1}{2}$ with the line $y+2x=5$, is:
Question 5 :
A member of these family with positive gradient making an angle of$\frac{\pi }{4}$ with the line3x-4y=2, is
Question 6 :
The statement dividend $=$ divisor $\times$ quotient $+$ remainder is called 
Question 8 :
H.C.F. of $x^3 -1$ and $x^4 + x^2 + 1$ is
Question 9 :
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 10 :
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 11 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$50cm, 80cm, 100cm$
Question 12 :
$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$<br/><b>State whether the above statement is true or false.</b><br/>
Question 13 :
An isosceles triangle has vertices at (4,0), (-4,0), and (0,8) The length of the equal sides is
Question 14 :
The distance between the points (sin x, cos x) and (cos x -sin x) is
Question 15 :
How far is the line 3x - 4y + 15 = 0 from the origin?
Question 18 :
A pair of numerical coordinates is required to specify each point in a ......... plane.
Question 19 :
Solve:$\displaystyle \sin ^{4}\theta +2\cos ^{2}\theta \left ( 1-\frac{1}{\sec ^{2}\theta } \right )+\cos ^{4}\theta $
Question 21 :
IF A+B+C=$ \displaystyle 180^{\circ}  $ ,then $  tan A+tanB+tanC $ is equal to
Question 24 :
What is the circumference of a circle whose radius is 8 cm?
Question 25 :
If the radius of a circle increased by 20% then the corresponding increase in the area of circle is ................
Question 26 :
A rope by which a cow is tethered is in reased from 16m to 23m. How much additional ground does it have to graze now?
Question 28 :
State true or false.Sector is the region between the chord and its corresponding arc.
Question 29 :
According to the property of probability, $P(\phi) = 0$ is used for <br>
Question 30 :
A pair of dice is thrown. Find the probability of getting a sum of $8$ or getting an even number on both the dices.
