Question 2 :
Is the following equation a quadratic equation?$\displaystyle 3x + \frac{1}{x} - 8 = 0$
Question 3 :
Say true or false.If $2y^{2}\, =\, 12\, -\, 5y$, then solution is $\displaystyle \frac{3}{2}\, or\, -4$.<br/>
Question 4 :
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 5 :
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 6 :
State the following statement is True or False<br/>The digit at ten's place of a two digit number exceeds the square of digit at units place ($x$) by 5 and the number formed is $61$, then the equation is $10\, (x^{2}\, +\, 5)\, +\, x\, =\, 61$.<br/>
Question 7 :
<p>If the value of '$b^2-4ac$' is less than zero, the quadratic equation $ax^2+bx+c=0$ will have</p><br/>
Question 8 :
The mentioned equation is in which form?$z\, -\, \cfrac{7}{z}\, =\, 4z\, +\, 5$
Question 9 :
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 10 :
The difference between the product of the roots and the sum of the roots of the quadratic equation $6x^{2} - 12x + 19 = 0$ is
Question 11 :
Check whether the given equation is a quadratic equation or not.<br/>$2{ x }^{ 2 }-7x=0\quad $
Question 15 :
The mentioned equation is in which form?<br/>$m^{3}\, +\, m\, +\, 2\, =\, 4m$
Question 19 :
If, in the expression $x^2 - 3$, x increases or decreases by a positive amount a, the expression changes by an amount
Question 20 :
Obtain a quadratic equation whose roots are reciprocals of the roots of the equation $x^2-3x - 4 =0$.
Question 21 :
Which point satisfies the linear quadratic system y=x+3 and y=5-x$\displaystyle ^{2}$?
Question 23 :
If $f(x)$ is a quadratic expression such that $f(1) + f(2) = 0$, and $-1$ is a root of $f(x) = 0$, then the other root of $f(x) = 0$ is :
Question 24 :
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 26 :
If $C > 0$ and the equation $3 a x ^ { 2 } + 4 b x + c = 0$ has no real root, then
Question 27 :
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 28 :
Is the following equation quadratic?$n^{3}\, -\, n\, +\, 4\, =\, n^{3}$
Question 29 :
When $a = \dfrac {4}{3}$, the value of $27a^{3} - 108a^{2} + 144a - 317$ is
Question 31 :
Choose the best possible option.<br>$\displaystyle{ x }^{ 2 }+\frac { 1 }{ 4{ x }^{ 2 } } -8=0$ is a quadraticequation.<br>
Question 32 :
Check whether $2x^2 - 3x + 5 = 0$ has real roots or no.<br/>
Question 33 :
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 34 :
Before Robert Norman worked on 'Dip and Field Concept', his predecessor thought that the tendency of the magnetic needle to swing towards the poles was due to a point attractive. However, Norman showed with the help of experiment that nothing like point attractive exists. Instead, he argued that magnetic power lies is lodestone. Which one of the following is the problem on which Norman and others worked?
Question 37 :
If $x^{2} + 10 x = 24,$ where $x>0$, then the value of $x + 5$ is
Question 39 :
The sum of a number and its reciprocal is$ \displaystyle \frac{125}{22} $ The number is
Question 40 :
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 41 :
Check whether the given equation is a quadratic equation or not.<br/>$3{ x }^{ 2 }-4x+2=2{ x }^{ 2 }-2x+4$
Question 42 :
The quadratic polynomial whose sum of zeroes is $3$ and product of zeroes is $- 2$ is:<br/>
Question 43 :
Determine whether the equation $\displaystyle 5{ x }^{ 2 }=5x$ is quadratic or not.
Question 44 :
If $9y^{2}\, -\, 3y\, -\, 2\, =\, 0$, then $y\, =\, \displaystyle -\frac{2}{3}, \, \displaystyle \frac{1}{3}$.<br/>
Question 45 :
If $x^{2} - 4x + 2 = 0$, then the value of $4x^{2} + 2x + \dfrac {4}{x} + \dfrac {16}{x^{2}}$ is
Question 49 :
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 50 :
The mentioned equation is in which form?<br/>$(y\, -\, 2)\, (y\, +\, 2)\, =\, 0$