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)
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class