Question 1 :
<span>Is the following equation a quadratic equation?</span><div>$(x + 2)^3 = x^3 - 4$</div>
Question 2 :
<span>The mentioned equation is in which form?</span><div>$n\, -\, 3\, =\, 4n$</div>
Question 3 :
<div><span>State the following statement is True or False</span><br/></div>The product of two numbers $y$ and $(y - 3)$ is $42$, then the equation formed can be represented as $y\, (y\, -\, 3)\, =\, 42$<br/>
Question 4 :
Choose best possible option.<br><span>$\displaystyle \left( x+\frac { 1 }{ 2 } \right) \left( \frac { 3x }{ 2 } +1 \right) =\frac { 6 }{ 2 } \left( x-1 \right) \left( x-2 \right) $ is quadratic.</span><br>
Question 5 :
The number of solutions of the equation,$2\left\{ x \right\} ^{ 2 }+5\left\{ x \right\} -3=0$ is
Question 7 :
If c is small in comparision with l then ${\left( {\frac{l}{{l + c}}} \right)^{\frac{1}{2}}} + {\left( {\frac{l}{{l - c}}} \right)^{\frac{1}{2}}} = $
Question 8 :
<span>Check whether the given equation is a quadratic equation or not.</span><br/>${ x }^{ 2 }+2\sqrt { x } -3$
Question 9 :
Choose the quadratic equation in $p$, whose solutions are $1$ and $7$.<br/>
Question 13 :
If $ y = x + \dfrac {1}{x} , x \ne 0, $ then the equation $ ( x^2 - 3x + 1 )(x^2 - 5x + 1 ) = 6x $ reduces to :
Question 14 :
If $x$ is real, $x + \dfrac {1}{x} \neq 0$ and $x^{3} + \dfrac {1}{x^{3}} = 0$, then the value of $\left (x + \dfrac {1}{x}\right )^{4}$ is
Question 15 :
$\displaystyle \frac{2}{3}$rd of a number when multiplied by $\displaystyle \frac{3}{4}$th of the same number, makes 338.<span>The number is:</span>
Question 16 :
If $6x-{ x }^{ 2 }=1$, then the value of $(\sqrt { x } -\dfrac { 1 }{ \sqrt { x } } )$ is
Question 17 :
<span>If $a^{2}\, -\, 3a\, +\, 1\, =\, 0$, then find :</span>$a\, +\, \displaystyle \frac{1}{a}$
Question 19 :
If $\dfrac {\sqrt {2 + 1} + \sqrt {2 - x}}{\sqrt {2 + x} - \sqrt {2 - x}} = 2$, the value of $x$ is
Question 20 :
If $x+y+z = 0$ then what is the value of<br/>$\dfrac{1}{x^2 + y^2 - z^2} + \dfrac{1}{y^2 + z^2 - x^2} + \dfrac{1}{z^2 + x^2 - y^2}$<br/>
Question 21 :
For what value of $k$ is $x^2 + kx + 9=(x+3)^2$?
Question 23 :
Find the term independent of x in the expansion of $\left(2x^2-\dfrac{3}{x^3}\right)^{25}$.
Question 24 :
All the values of '$a$' for which the quadratic expression $ax^2+(a-2)x-2$ is negative for exactly two integral values of $x$ may lie in
Question 25 :
The difference between two positive integers is $13$ and their product is $140$. Find the two integers.<br/>