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.
1. In the standard form of quadratic polynomial, ax2 + bx + c, 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.
2. If the roots of the quadratic polynomial are equal, where the discriminant D = b2 – 4ac, then
a) D > 0
b) D < 0
c) D
d) D = 0
3. If α and \(\cfrac1\alpha\) are the zeroes of the quadratic polynomial 2x2 - x + 8k, then k is
a) 4
b) \(\cfrac14\)
c) \(\cfrac{-1}4\)
d) 2
4. The graph of x2 + 1 = 0
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.
5. If the sum of the roots is –p and product of the roots is -\(\cfrac1p\), then the quadratic polynomial is