Case Study Based Questions for Class 10 Maths Chapter 2 Polynomials

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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) x2 – 6x + 16
(b) -x2 + 6x + 16
(c) x2 + 6x + 16
(d) -x2 – 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 -x2+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) x2-x+24
(b)-x2-3x+28
(c) x2+x+28
(d) x2-x+28

Answers Answers:
(1) a
(2) b
(3) c
(4) d
(5) b

You may also like:

Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Pair of Linear Equations in Two Variables
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Triangles
Chapter 7 Coordinate Geometry
Chapter 8 Introduction to Trigonometry
Chapter 9 Some Applications of Trigonometry
Chapter 10 Circles
Chapter 11 Constructions
Chapter 12 Areas Related to Circles
Chapter 13 Surface Areas and Volumes
Chapter 14 Statistics
Chapter 15 Probability

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