Question 1 :
Applying zero product rule for the equation $x^{2}- ax - 30 = 0$ is $x = 10$, then $a =$ _____.<br/>
Question 2 :
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 3 :
If $\displaystyle \frac{5x+6}{\left ( 2+x \right )\left ( 1-x \right )}=\frac{a}{2+x}+\frac{b}{1-x}$, then the values of a and b respectively are
Question 4 :
Check whether the given equation is a quadratic equation or not.<br/>$\quad { x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } =2\quad $<br/>
Question 7 :
Choose the quadratic equation in $p$, whose solutions are $1$ and $7$.<br/>
Question 9 :
Choose the best possible answer<br/>$\displaystyle 32{ x }^{ 2 }-6=\left( 4x+10 \right) \left( 10x-6 \right) $ is quadratic equation <br/>
Question 11 :
Is the following equation a quadratic equation?$\displaystyle \frac{3x}{4} - \frac{5x^2}{8} = \frac{7}{8}$
Question 12 :
Which one of the following condition will satisfy the zero product roots of the equation $(x - a)(x - b)$?<br>
Question 13 :
Set of value of $x$, if $\sqrt{(x+8)}+\sqrt{(2x+2)} = 1$, is _____.
Question 14 :
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 15 :
The factors of the equation, $k(x + 1)(2x + 1) = 0$, find the value of $k$.<br/>
Question 17 :
State the following statement is True or FalseThe length of a rectangle ($x$) exceeds its breadth by $3$ cm. The area of a rectangle is $70$ sq.cm, then the equation is $x\, (x\, -\, 3)\, =\, 70$.<br/>
Question 19 :
Find the quadratic equation in $x$, whose solutions are $3$ and $2$.
Question 20 :
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 :
Difference between the squares of $2$ consecutive numbers is $31$. Find the numbers.