**Case Study Questions for Class 10 Maths Chapter 1 Real Numbers**

**Question 1:**

Priya and her husband Aman who is an architect by profession, visited France. They went to see Mont Blanc Tunnel which is a highway tunnel between France and Italy, under the Mont Blanc Mountain in the Alps, and

has a parabolic cross-section. The mathematical representation of the tunnel is shown in the graph.

*Based on the above information, answer the following questions.*

**(1) The zeroes of the polynomial whose graph is given, are**

(a) -2, 8

(b)-2, -8

(c) 2,8

(d) -2,0

**(2) What will be the expression of the polynomial given in diagram?**

(a) x^{2} – 6x + 16

(b) -x^{2} + 6x + 16

(c) x^{2} + 6x + 16

(d) -x^{2} – 6x – 16

**(3) What is the value of the polynomial. represented by the graph, when x = 4?**

(a) 22

(b) 23

(c) 24

(d) 25

**(4) If the tunnel is represented by -x ^{2}+3x-2. then its zeroes are**

(a) -1, -2

(b) 1, -2

(c) -1, 2

(d) 1, 2

**(5) If one of the zero is 4 and sum of zeroes is -3, then representation of tunnel as a polynomial is **(a) x

^{2}-x+24

(b)-x

^{2}-3x+28

(c) x

^{2}+x+28

(d) x

^{2}-x+28

**Answers**

Answers: (1) a

(2) b

(3) c

(4) d

(5) b