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.
In the standard form of quadratic polynomial, 𝑎𝑥
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
If the roots of the quadratic polynomial are equal, where the discriminant 𝐷=𝑏
(a) D > 0 (b) D < 0 (c) D ≥ 0 (d) D = 0
If a and 1/a are the zeroes of the quadratic polynomial 2𝑥
− 𝑥 + 8𝑘 then k is
(a) 4 (b) 1/4 (c) (-1)/4 (d) 2
The graph of 𝑥
(a) Intersects x‐axis at two distinct points.
(b) Touches x‐axis at a point.
(c) Neither touches nor intersects x‐axis.
(d) Either touches or intersects x‐ axis.
If the sum of the roots is –p and product of the roots is (-1)/p , then the quadratic polynomial is
+𝑥/𝑝+1) (b) 𝑘(𝑝𝑥
+𝑝𝑥−1/𝑝) (d) 𝑘(𝑥