Question 1 :
If $C > 0$ and the equation $3 a x ^ { 2 } + 4 b x + c = 0$ has no real root, then
Question 2 :
The factors of the equation, $k(x + 1)(2x + 1) = 0$, find the value of $k$.<br/>
Question 4 :
Is the following equation a quadratic equation?$\displaystyle 3x + \frac{1}{x} - 8 = 0$
Question 6 :
Is the following equation a quadratic equation?$16x^2 - 3 = (2x + 5) (5x - 3)$
Question 7 :
 The following equation is a quadratic equation. $(x \, + \, 2)^3 \, = \, x^3 \, - \, 4$
Question 8 :
Choose the best possible option.<br>$\displaystyle{ x }^{ 3 }-5x+2{ x }^{ 2 }+1=0$ is quadraticequation.<br>
Question 9 :
If $y=\cfrac { 2 }{ 3 } $ is a root of the quadratic equation $3{ y }^{ 2 }-ky+8=0$, then the value of $k$ is ..................
Question 11 :
The roots of the equation $\sqrt{3y + 1} = \sqrt{y - 1}$  are?<br/>
Question 12 :
Choose the best possible option.<br>$\displaystyle{ x }^{ 2 }+\frac { 1 }{ 4{ x }^{ 2 } } -8=0$ is a quadraticequation.<br>
Question 13 :
__________ is true for the discriminant of a quadratic equation $x^2+x+1=0$.
Question 14 :
If $\alpha \epsilon \left( -1,1 \right) $ then roots of the quadratic equation $\left( a-1 \right) { x }^{ 2 }+ax+\sqrt { 1-{ a }^{ 2 } } =0$ are
Question 15 :
State the following statement is True or False<br/>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 19 :
Choose the best possible answer<br/>$\displaystyle 32{ x }^{ 2 }-6=\left( 4x+10 \right) \left( 10x-6 \right) $ is quadratic equation <br/>
Question 20 :
A quadratic equation in $x$ is $ax^2 + bx + c = 0$, where $a, b, c$ are real numbers and the other condition is<br/>
Question 21 :
Solve for $x : 15 x^2 - 7x - 36 = 0$<br>
Question 22 :
For the expression $ax^2 + 7x + 2$ to be quadratic, the necessary condition is<br>
Question 23 :
Squaring the product of $z$ and $5$ gives the same result as squaring the sum of $z$ and $5$. Which of the following equations could be used to find all possible values of $z$?
Question 24 :
Which of the following equations has two distinct real roots ?<br>
Question 25 :
Say true or false.<br/>If $x(x - 4) = 0$, then $x= 0$ or $x=4$.<br/>
Question 26 :
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 28 :
Is the following equation quadratic?$\displaystyle -\frac{5}{3}\, x^{2}\, =\, 2x\, +\, 9$
Question 29 :
Solve the following quadratic equation by factorization :<br>$a(x^2 \, + \, 1) \, - \, x \, (a^2 \, + \, 1) \, = \, 0$
Question 31 :
Check whether $2x^2 - 3x + 5 = 0$ has real roots or no.<br/>
Question 33 :
Set of value of $x$, if $\sqrt{(x+8)}+\sqrt{(2x+2)} = 1$, is _____.
Question 36 :
Check whether the given equation is a quadratic equation or not.<br/>$2{ x }^{ 2 }-7x=0\quad $
Question 38 :
Check whether the following is a quadratic equation.$(x - 3) (2x + 1) = x (x + 5)$<br/>
Question 39 :
Is the following equation quadratic?$(x\, +\, 3) (x\, -\, 4)\, =\, 0$
Question 40 :
The length of a rectangular verandah is $3\:m$ more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter. Taking $x$ as the breadth of the verandah, write an equation in $x$ that represents the above statement.
Question 41 :
If the roots of the equation $ax^2+bx+c=0$ are all real equal then which one of the following is true?
Question 43 :
The sum of a number and its reciprocal is$ \displaystyle \frac{125}{22} $ The number is
Question 44 :
Find the quadratic equation in $x$, whose solutions are $3$ and $2$.
Question 45 :
Let x and y be two 2- digit number such that y is obtain by reversing the digits of x.suppose they also satisfy $x^2-y^2=m^2$ for some positive integer m. The value of $x+y+m$ is.
Question 47 :
The expression $21x^2 + ax + 21$ is to be factored into two linear prime binomial factors with integer coefficients. This can be done if a is:
Question 48 :
Choose best possible option.<br>$\displaystyle\left( x+\frac { 1 }{ 2 } \right) \left( \frac { 3x }{ 2 } +1 \right) =\frac { 6 }{ 2 } \left( x-1 \right) \left( x-2 \right)$ is quadratic.<br>
Question 50 :
The difference between the product of the roots and the sum of the roots of the quadratic equation $6x^{2} - 12x + 19 = 0$ is