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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 area) 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, thena) D > 0b) D < 0c) Dd) D = 03. If α and \(\cfrac1\alpha\) are the zeroes of the quadratic polynomial 2x2 - x + 8k, then k isa) 4b) \(\cfrac14\)c) \(\cfrac{-1}4\)d) 24. The graph of x2 + 1 = 0a) 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 |
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Answer» 1. c) ‘a’ is a non zero real number and b and c are any real numbers. 2. d) D = 0 3. b) 4. c) Neither touches nor intersects x‐axis. 5. c) k (x2 + px - \(\cfrac1p\)) |
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