Question 1 :
 The following equation is a quadratic equation. $(x \, + \, 2)^3 \, = \, x^3 \, - \, 4$
Question 4 :
Roots of the equation $\sqrt {\dfrac {x}{1-x}}+\sqrt {\dfrac {1-x}{x}}=2\dfrac {1}{6}$ are
Question 5 :
If $x^2-36=0$, which of the following could be a value of $x$?
Question 6 :
The least integer $'c'$ which makes the roots of the equation $x^2+3x+2c$ imaginary is
Question 8 :
Which one of the following condition will satisfy the zero product roots of the equation $(x - a)(x - b)$?<br>
Question 10 :
Check whether the given equation is a quadratic equation or not.<br/>$\quad { x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } =2\quad $<br/>
Question 11 :
For what values of $k$ will the quadratic equation : $\displaystyle { 2x }^{ 2 }-kx+1=0$ have real and equal roots?
Question 12 :
Find the value of K so that sum of the roots of the equations $3x^2 + (2x - 11) x K - 5 = 0$ is equal to the product of the roots.
Question 13 :
Find the discriminant of the equation and the nature of roots. Also find the roots.$2x^2 + 5 \sqrt 3x + 6 =0$
Question 14 :
If $a, b$ and $c$ are non-zero real numbers and $a{z}^{2}+bz+c+i=0$ has purely imaginary roots, then $a$ is equal to
Question 15 :
Suppose $a,b,c \in R$, $a \ne 0$ and $4a - 6b + 9c < 0\,$ and $a{x^2} + bx + c = 0$ does not have real roots, then
Question 16 :
The rectangular fence is enclosed with an area $16$cm$^{2}$. The width of the field is $6$ cm longer than the length of the fields. What are the dimensions of the field?<br/>
Question 17 :
Number of roots of equation ${ 3 }{ \left| x \right|  }-\left| 2-\left| x \right|  \right| =1$ is
Question 18 :
If the roots of the equation ${ x }^{ 2 }-2ax+{ a }^{ 2 }+a-3=0$ are real and less than $3$, then
Question 19 :
The condition that the roots of the equation $\displaystyle ax^{2}+bx+c=0$ be such that one root is $n$ times the other is