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.

An asana is a body posture, originally - Teachoo.jpg

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Question 1

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

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Question 2

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

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Question 3

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

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Question 4

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

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Question 5

The zeroes of the quadratic polynomial 4√3 ๐‘ฅ 2 +5๐‘ฅ−2√3 are

(a) 2/√3,√3/4 (b) (−2)/√3,√3/4 (c) 2/√3,(−√3)/4 (d) (−2)/√3,(−√3)/4

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  1. Chapter 2 Class 10 Polynomials (Term 1)
  2. Serial order wise

Transcript

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 โ‰ฅ 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: โˆ’2x2 + 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 โˆด 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) โ€“2, 4 (c) โ€“8, 4 (d) 2, โ€“8 Here, Zeroes are the values of x where graph intersects the x-axis โˆด Zeroes are โˆ’2 and 4 So, the correct answer is (b) Question 5 The zeroes of the quadratic polynomial 4โˆš3 ๐‘ฅ^2+5๐‘ฅโˆ’2โˆš3 are (a) 2/โˆš3,โˆš3/4 (b) (โˆ’2)/โˆš3,โˆš3/4 (c) 2/โˆš3,(โˆ’โˆš3)/4 (d) (โˆ’2)/โˆš3,(โˆ’โˆš3)/4 We can either put the zeroes in the equation and check Or we can find the zeroes Finding Zeroes of polynomial 4โˆš3 ๐‘ฅ^2+5๐‘ฅโˆ’2โˆš3 = 0 Solving by splitting the middle term 4โˆš3 ๐‘ฅ^2+8๐‘ฅโˆ’3๐‘ฅโˆ’2โˆš3 = 0 4๐‘ฅ(โˆš3 ๐‘ฅ+2)โˆ’โˆš3 (โˆš3 ๐‘ฅ+2)=0 (4๐‘ฅโˆ’โˆš3)(โˆš3 ๐‘ฅ+2)=0 โˆด Zeroes are โˆš๐Ÿ‘/๐Ÿ’ and (โˆ’๐Ÿ)/โˆš๐Ÿ‘ So, the correct answer is (b)

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Davneet Singh
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.