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Applications of Parabolas: Highway Overpasses/Underpasses
A highway underpass is parabolic in shape.
(i) If the highway overpass is represented by x
2–2x–8. Then its zeroes are
(a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically.
Number of zeroes of polynomial is equal to number of points where the graph of
polynomial:
(a) Intersects X-axis (c) Intersects Y-axis
(b) Intersects Y-axis or X-axis (d)None of the above
(iii) Graph of a quadratic polynomial is a:
(a) Straight line (b)circle (c)parabola (d) ellipse
(iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is:
x
2–3?
Most Upvoted Answer
Applications of Parabolas: Highway Overpasses/Underpasses A highway u...
Highway Overpasses/Underpasses

(i) Finding Zeroes of the Highway Overpass
- The given polynomial representing the highway overpass is x^2 - 2x - 8.
- To find the zeroes, we set the polynomial equal to zero and solve for x.
- x^2 - 2x - 8 = 0
- (x + 2)(x - 4) = 0
- This gives us the zeroes as x = -2 and x = 4.
- Therefore, the correct option is (b) (4, -2).

(ii) Graphical Representation of Zeroes
- Zeroes of a polynomial can be represented graphically by the points where the graph intersects the x-axis.
- The number of zeroes of a polynomial is equal to the number of points where the graph intersects the x-axis.
- So, the correct option is (a) Intersects X-axis.

(iii) Graph of Quadratic Polynomial
- The graph of a quadratic polynomial is represented as a parabola.
- Therefore, the correct option is (c) parabola.

(iv) Highway Underpass with Given Zeroes
- One zero is given as 6, and the sum of the zeroes is 0.
- Let the other zero be y, then y + 6 = 0.
- Solving this gives us y = -6.
- The quadratic polynomial representation is x^2 - (sum of zeroes)x + product of zeroes.
- Substituting the values, we get x^2 - (-6 + 6)x + (6*-6) = x^2 + 6x - 36.
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Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3?
Question Description
Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3?.
Solutions for Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3? defined & explained in the simplest way possible. Besides giving the explanation of Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3?, a detailed solution for Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3? has been provided alongside types of Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3? theory, EduRev gives you an ample number of questions to practice Applications of Parabolas: Highway Overpasses/Underpasses A highway underpass is parabolic in shape. (i) If the highway overpass is represented by x 2–2x–8. Then its zeroes are (a) (2,–4) (b)(4,–2) (c)(–2,–2) (d)(–4,–4)(ii) The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial: (a) Intersects X-axis (c) Intersects Y-axis (b) Intersects Y-axis or X-axis (d)None of the above (iii) Graph of a quadratic polynomial is a: (a) Straight line (b)circle (c)parabola (d) ellipse (iv) The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is: x 2–3? tests, examples and also practice Class 10 tests.
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