## 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.

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**
Question 1
**

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

a, b and c are

(a) All are real numbers

(b) All are rational numbers.

(c) ‘a’ is a non zero real number and b and c are any real numbers

(d) All are integers

##
**
Question 2
**

##
If the roots of the quadratic polynomial are equal, where the discriminant π·=π
^{
2
}
−4ππ, then

(a) D > 0 (b) D < 0 (c) D ≥ 0 (d) D = 0

##
**
Question 3
**

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

(a) 4 (b) 1/4 (c) (-1)/4 (d) 2

##
**
Question 4
**

##
The graph of π₯
^{
2
}
+1=0

(a) Intersects xβaxis at two distinct points.

(b) Touches xβaxis at a point.

(c) Neither touches nor intersects xβaxis.

(d) Either touches or intersects xβ axis.

##
**
Question 5
**

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

(a) π(−ππ₯
^{
2
}
+π₯/π+1) (b) π(ππ₯
^{
2
}
−π₯/π−1)

(c) π(π₯
^{
2
}
+ππ₯−1/π) (d) π(π₯
^{
2
}
−ππ₯+1/π)