Case study -1
A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. Rainbow is an arc of colours, caused by the refraction and dispersion of the light after rain or other water droplets in the atmosphere. Each colour of the rainbow makes a parabola.
Based on the knowledge of Polynomials answer the following questions:
(a)
(b)
(c)
(d)
Q.10
If the rainbow is represented by polynomial x2 – 4x -21.Then its zeroes are: i) 7, -3 ii) 3,-7 iii) 7, 3 iv) -7,-3
If graph of a rainbow does not intersect the x axis , then number of zeroes of the polynomial is equal to:
i) 0 ii) 1 iii) 0 or 1 iv) None of these
Sum of the reciprocal of zeroes in the given polynomial is i) 4/21 ii) - 4/21 iii) -4 iv) 4
Product of the zeroes in the given polynomial is
i) 4 ii) -4 iii) 21 iv) -21
Answers
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a) x^2-4x-21
roots are : x=7 x=-3
b) 0
c) 1\7 + 1/-3 = -4/7
d) -21
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