Question 2 - Case Based Questions (MCQ) - Chapter 2 Class 10 Polynomials (Term 1)

Last updated at July 24, 2021 by Teachoo

An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.

Question 1

The shape of the poses shown is
(a) Spiral (b) Ellipse (c) Linear (d) Parabola

Question 2

The graph of parabola opens downwards, if _______
(a) a ≥ 0 (b) a = 0 (c) a < 0 (d) a > 0

Question 3

In the graph, how many zeroes are there for the polynomial?
(a) 0 (b) 1 (c) 2 (d) 3

Question 4

The two zeroes in the above shown graph are
(a) 2, 4 (b) –2, 4 (c) –8, 4 (d) 2, –8

Question 5

The zeroes of the quadratic polynomial 4√3 ๐ฅ
^{
2
}
+5๐ฅ−2√3 are

Question An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.Question 1 The shape of the poses shown is (a) Spiral (b) Ellipse (c) Linear (d) Parabola
The poses are in the shape of a parabola
So, the correct answer is (d)
Question 2 The graph of parabola opens downwards, if _______ (a) a โฅ 0 (b) a = 0 (c) a < 0 (d) a > 0
For a quadratic polynomial
ax2 + bx + c
Here, a can never be 0
And if a < 0, then graph opens downwards
Example: โ2x2 + 2
So, the correct answer is (c)
Question 3 In the graph, how many zeroes are there for the polynomial? (a) 0 (b) 1 (c) 2 (d) 3
Number of zeroes is equal to number of times parabola intersects the x-axis
โด Number of zeroes = 2
So, the correct answer is (c)
Question 4 The two zeroes in the above shown graph are (a) 2, 4 (b) โ2, 4 (c) โ8, 4 (d) 2, โ8
Here,
Zeroes are the values of x where graph intersects the x-axis
โด Zeroes are โ2 and 4
So, the correct answer is (b)
Question 5 The zeroes of the quadratic polynomial 4โ3 ๐ฅ^2+5๐ฅโ2โ3 are (a) 2/โ3,โ3/4 (b) (โ2)/โ3,โ3/4 (c) 2/โ3,(โโ3)/4 (d) (โ2)/โ3,(โโ3)/4
We can either put the zeroes in the equation and check
Or we can find the zeroes
Finding Zeroes of polynomial
4โ3 ๐ฅ^2+5๐ฅโ2โ3 = 0
Solving by splitting the middle term
4โ3 ๐ฅ^2+8๐ฅโ3๐ฅโ2โ3 = 0
4๐ฅ(โ3 ๐ฅ+2)โโ3 (โ3 ๐ฅ+2)=0
(4๐ฅโโ3)(โ3 ๐ฅ+2)=0
โด Zeroes are โ๐/๐ and (โ๐)/โ๐
So, the correct answer is (b)

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.