Question 20 Due to heavy storm an electric wire got bent as shown in the figure. It followed a mathematical shape. Answer the following questions below.Question 20 (i) Name the shape in which the wire is bent (a) Spiral (b) ellipse (c) linear (d) ParabolaParabola
1 marks
Question 20 (ii) How many zeroes are there for the polynomial (shape of the wire) (a) 2 (b) 3 (d) 1 (d) 0Since polynomial hits the x-axis at 2 points
∴ Number of zeros = 2
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Question 20 (iii) The zeroes of the polynomial are (a) –1, 5 (b) –1, 3 (c) 3, 5 (d) –4, 2Zero of polynomial would be where curve touches the x-axis
∴ Zeroes are −1 and 3
1 marks
Question 20 (iv) What will be the expression of the polynomial? (a) x2 + 2x – 3 (b) x2 – 2x +3 (c) x2 – 2x – 3 (d) x2 + 2x + 3Since Zeroes are −1 and 3
Polynomial = (x − (−1)) (x − 3)
= (x + 1) (x − 3)
= x (x − 3) + 1 (x − 3)
= x2 − 3x + x − 3
= x2 − 2x − 3
1 marks
Question 20 (v) What is the value of the polynomial if x = –1? (a) 6 (b) –18 (c) 18 (d) 0At x = −1
Value of Polynomial is 0
1 marks
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
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