Question 1 :
If $9y^{2}\, -\, 3y\, -\, 2\, =\, 0$, then $y\, =\, \displaystyle -\frac{2}{3}, \, \displaystyle \frac{1}{3}$.<br/>
Question 3 :
Is the following equation quadratic?$(x\, +\, 3) (x\, -\, 4)\, =\, 0$
Question 5 :
When $a = \dfrac {4}{3}$, the value of $27a^{3} - 108a^{2} + 144a - 317$ is
Question 8 :
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 9 :
If $p$ is chosen at random in the interval $0 \le p \le 5$,the probability that the equations $x^{2}+px+p/4+1/2=0$ are real is
Question 10 :
If $p$ and $q$ are the roots of the equation $x^2-30x+221=0$, what is the value of $p^3+q^3$ ?
Question 11 :
Is the following equation quadratic?$n^{3}\, -\, n\, +\, 4\, =\, n^{3}$
Question 12 :
The factors of the equation, $k(x + 1)(2x + 1) = 0$, find the value of $k$.<br/>
Question 13 :
Check whether the given equation is a quadratic equation or not.<br/>${ x }^{ 2 }+2\sqrt { x } -3$
Question 14 :
Check whether the given equation is a quadratic equation or not.<br/>$3{ x }^{ 2 }-4x+2=2{ x }^{ 2 }-2x+4$
Question 15 :
If the roots of the equation<br>$a(b-c)x^2+b(c-a)x+c(a-b)=0$ are equal, then which one of the following is correct ?
Question 17 :
Obtain a quadratic equation whose roots are reciprocals of the roots of the equation $x^2-3x - 4 =0$.
Question 19 :
Find $ p \in R $ for $x^2 - px + p + 3 = 0 $ has<br/>
Question 20 :
For what values of $k$, the equation $x^{2}+2(k-4)x+2k=0$ has equal roots?