Quadratic Equation

Q.

What is the general form of a quadratic equation?

Q.

How Does The Military Use Quadratic Equations?

Q. If $2x^2{y}^2+y^2-6x^2-12=0,$ then number of integral pairs $(x,y)$ satisfying is/are

1. $1$
2. $2$
3. $4$
4. $6$

Q. The number of solution(s) of the equation $x-\frac{7}{x-3}=3-\frac{7}{x-3}$ is

1. $0$
2. $1$
3. $2$
4. $3$

Q.

Match Column I with Column II to make a complete sentence.

Column 1	Column 2
Every linear polynomial has	polynomial has no zero
A polynomial can have	one and only one zero
A non–zero constant	may or may not be zero
A zero of a polynomial	more than one zero

Q. Let $(x_0,y_0)$ be the solution of the following equations $(2x{)}^{ln2}=(3y{)}^{ln3}$ , $3^{lnx}=2^{lny}$ then $x_0$ is

1. $\frac{1}{6}$
2. $\frac{1}{2}$
3. $\frac{1}{3}$
4. 6

Q. If one of the factors of $x^2+x-20$ is $(x+5)$, then other factor is

1. $(x-4)$
2. $(x-5)$
3. $(x-6)$
4. $(x-7)$

Q.

If $k_1,k_2,k_3$ are real numbers and the equation $k_1{x}^2+k_{2}x+k_3=0$ have three roots, then value of $k_1+k_2+k_3$ is

1. 0

2. 1

3. 2

4. 3

Q. If $y=\frac{1}{t^2-t-6}$ and $t=\frac{1}{x-2}$, then the values of $x$ for which make the function y discontinuous, are:

1. None of the above
2. $2,\frac{3}{2},\frac{7}{3}$
3. $2,\frac{3}{2},\frac{3}{7}$
4. $2,\frac{2}{3},\frac{7}{3}$

Q.

State whether the following statement is True or False

$\sqrt{2}$is a polynomial of degree 0.

1. True
2. False