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Radha decorated the door of her house wi...

Radha decorated the door of her house with garlands on the occassion of Diwali. Each garland forms the shape of a parabola.

What type of polynomial does the parabola formed by the garland represent?

A

linear

B

Quadratic

C

Cubic

D

Biquadratic

Text Solution

Verified by Experts

The correct Answer is:
B
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Case Study-2: Radha decorated the door of her house with garlands on the occassion of Diwali. Each garland forms the shape of a parabola as shown in the figure. What type of polynomial does the parabola formed by the garland represent?

Radha decorated the door of her house with garlands on the occassion of Diwali. Each garland forms the shape of a parabola. Evaluate the number of zeroes of a quadratic polynomial

Knowledge Check

  • Somesh is driving motorcycle, in a zigzag way on the road. His motorbike moves on a road and traces a curved path. The path traced by it is shown by the curve ABCDE. The pattern of the path traced is in the shape of parabola. In mathematical form, the given path followed the polynomial expression in the form p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+ ..... If the shape of the curve ABC is represented by quadratic equation x^(2) - 7x + 12 then its zeroes are:

    A
    3,4
    B
    4,-5
    C
    3,-5
    D
    2,-3

  • Somesh is driving motorcycle, in a zigzag way on the road. His motorbike moves on a road and traces a curved path. The path traced by it is shown by the curve ABCDE. The pattern of the path traced is in the shape of parabola. In mathematical form, the given path followed the polynomial expression in the form p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+ ..... What is the polynomial representation of the path traced by the bike, when zeroes are 2 and -4,

    A
    `x^(2)+2x-8`
    B
    `x^(2)-2x-8`
    C
    `x^(2)-4x-8`
    D
    `x^(2)+2x+8`

  • Somesh is driving motorcycle, in a zigzag way on the road. His motorbike moves on a road and traces a curved path. The path traced by it is shown by the curve ABCDE. The pattern of the path traced is in the shape of parabola. In mathematical form, the given path followed the polynomial expression in the form p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+ ..... Which of the following describes the shape of the curve CDE?

    A
    Circle
    B
    Straight line
    C
    Parabolic
    D
    Ellipse

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    Case Study-2: Radha decorated the door of her house with garlands on the occassion of Diwali. Each garland forms the shape of a parabola as shown in the figure. A quadratic polynomial with the sum and product of its zeroes as 1 and -2 respectively, is:

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