Question 2 :
Is the following equation quadratic?$\displaystyle -\frac{5}{3}\, x^{2}\, =\, 2x\, +\, 9$
Question 4 :
If $ax^2 + bx + c =0$ has equal roots, then c is equal to ______.
Question 5 :
In a rectangle the breadth is one unit less than the length and the area is $12$ sq.units. Find the length of the rectangle.
Question 6 :
<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 7 :
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 8 :
Check whether $2x^2 - 3x + 5 = 0$ has real roots or no.<br/>
Question 9 :
The mentioned equation is in which form?<br/>$(y\, -\, 2)\, (y\, +\, 2)\, =\, 0$
Question 10 :
Obtain a quadratic equation whose roots are reciprocals of the roots of the equation $x^2-3x - 4 =0$.
Question 11 :
Set of value of $x$, if $\sqrt{(x+8)}+\sqrt{(2x+2)} = 1$, is _____.
Question 12 :
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 13 :
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 15 :
Is the following equation a quadratic equation?$\displaystyle \frac{3x}{4} - \frac{5x^2}{8} = \frac{7}{8}$
Question 16 :
Choose the best possible option.<br>$\displaystyle{ x }^{ 2 }+\frac { 1 }{ 4{ x }^{ 2 } } -8=0$ is a quadraticequation.<br>
Question 17 :
The sum of a number and its reciprocal is$ \displaystyle \frac{125}{22} $ The number is
Question 18 :
Choose the best possible answer<br/>$\displaystyle 32{ x }^{ 2 }-6=\left( 4x+10 \right) \left( 10x-6 \right) $ is quadratic equation <br/>
Question 21 :
If $3$ is one of the roots $x^2-mx+15=0$. Choose the correct options -<br/>
Question 22 :
The mentioned equation is in which form?$z\, -\, \cfrac{7}{z}\, =\, 4z\, +\, 5$
Question 24 :
Choose the best possible option.<br>$\displaystyle{ x }^{ 3 }-5x+2{ x }^{ 2 }+1=0$ is quadraticequation.<br>
Question 25 :
Determine whether the equation $\displaystyle 5{ x }^{ 2 }=5x$ is quadratic or not.
Question 28 :
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 29 :
The least integer $'c'$ which makes the roots of the equation $x^2+3x+2c$ imaginary is
Question 30 :
The difference of two natural numbers is $4$ and the difference of their reciprocals is $\dfrac{1}{3}$. Find the numbers.
Question 31 :
The nature of the roots of a quadratic equation is determined by the:<br>
Question 32 :
Find the quadratic equation in $x$, whose solutions are $3$ and $2$.
Question 35 :
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 38 :
Difference between the squares of $2$ consecutive numbers is $31$. Find the numbers.
Question 40 :
The number of solutions of the equation,$2\left\{ x \right\} ^{ 2 }+5\left\{ x \right\} -3=0$ is
Question 43 :
The sum of roots of the equation$a{x^2} + bx + c = 0$ is equal to the sum of squares of their reciprocals.The$b{c^2},c{a^2}$ and $a{b^2}$ are in
Question 44 :
The quadratic polynomial whose sum of zeroes is $3$ and product of zeroes is $- 2$ is:<br/>
Question 46 :
If roots of $(a - 2b + c)x^2 + (b - 2c +a)x + (c - 2a +b) = 0$ are equal, then :
Question 47 :
Is the following equation a quadratic equation?$\displaystyle 3x + \frac{1}{x} - 8 = 0$
Question 49 :
Choose the quadratic equation in $p$, whose solutions are $1$ and $7$.<br/>
Question 50 :
If $x - 4$ is one of the factor of $x^{2} - kx + 2k$, where $k$ is a constant, then the value of $k$ is