## The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

Β

##
**
Question 1
**

##
In the standard form of quadratic polynomial, ππ₯
^{
2
}
+ππ₯+π Β

a, b and c are

(a) All are real numbers Β

(b) All are rational numbers.Β

(c) βaβ is a non zero real number and b and c are any real numbersΒ

(d) All are integers

##
**
Question 2
**

##
If the roots of the quadratic polynomial are equal, where the discriminant π·=π
^{
2
}
β4ππ, then

(a) D > 0Β (b) D < 0 Β (c) D β₯ 0 Β (d) D = 0 Β

##
**
Question 3
**

##
If a and 1/a are the zeroes of the quadratic polynomial 2π₯
^{
2
}
β π₯ + 8π then k is

(a) 4Β (b) 1/4Β (c) (-1)/4Β Β (d) 2

##
**
Question 4
**

##
The graph of π₯
^{
2
}
+1=0

(a) Intersects xβaxis at two distinct points. Β

(b) Touches xβaxis at a point. Β

(c) Neither touches nor intersects xβaxis. Β

(d) Either touches or intersects xβ axis.

##
**
Question 5
**

##
If the sum of the roots is βp and product of the roots is (-1)/p , then the quadratic polynomial is

(a) π(βππ₯
^{
2
}
+π₯/π+1) Β (b) π(ππ₯
^{
2
}
βπ₯/πβ1) Β Β

(c) π(π₯
^{
2
}
+ππ₯β1/π)Β Β (d) π(π₯
^{
2
}
βππ₯+1/π)