Q1. India's longest single-lane suspension bridge is now open to the public. The DobraChanti bridge over Uttarakhand's Tehri lake. The bridge with hanging wires showing a mathematical shape.
(i)Graph of a quadratic polynomial is.

(ii)The representation of hanging wires on the bridge whose sum of the zeroes is -3 and product of the zeroes is 5 is
x²-3x-5

iii)What will be the expression of the quadratic polynomial
ax³+bx²+cx+d, a≠0

Q2. A highway underpass is parabolic in shape.

(i) If the highway overpass is repesented by x²-2x-8.Then its zeroes are

(ii)If 2 and 1/2 are zeroes of px2+5x+r,then

(iii)The number of real zeroes that polynomial f(x)=(x-2)²+4 can have is

Q3. A parabolic shape object used for receiving signals from a satellite, especially television signals. A satellite dish works in the same way as the reflector for a torch or car headlights. A signal is produced or reflected from a focal point. A parabola is the graph that results from p(x)= ax2+bx+c. if the values of a, b and c are 1, -3 and 2 respectively, then give answer of following questions:

i) Find the zeroes of the polynomial p(x).

Find the product of zeroes of the polynomial x²-2x

Find the quadratic polynomial whose zeroes are 5 and -3.

If one zero of the quadratic polynomial x2+kx+2 is 1, then what is the value of k?

Q4. 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. Observe the following poses carefully.

i)The shape of the poses shown is

ii)The graph of parabola opens downwards, if

(iii)The zeroes of the quadratic polynomial X²+3x-10 are?

(iv)The above quadratic zeroes sign will be:

Q5.A child was flying a kite, its string got struck into a tree and touched ground as shown in figure.

(i)The string of the kite represents the graph of a_____ polynomial.

(ii) The number of zeroes of a quadratic polynomial is

Q6. Q3. During the skipping through skipping rope, its look like the in the form of parabola. It is a natural example of parabolic shape which is represented by a quadratic polynomial. Similarly, we can observe in many other cases forming a in a variety of forms of different parabolas.

(i) )In the standard form of quadratic polynomial, ax² + bx + c, the condition between a, b and c are

(ii)If the parabola is opening downward, what can you say regarding the coefficient of x² ?

(iii) If one zero of a quadratic polynomial is reciprocal of the other, form the
quadratic polynomial