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Q37 Radha, an aspiring landscape designer, is tasked with creating a visually captivating pool de
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Q37 Radha, an aspiring landscape designer, is tasked with creating a visually
captivating pool design that incorporates a unique arrangement of fountains.
The challenge entails arranging the fountains in such a way that when water is
thrown upwards, it forms the shape of a parabola. The graph of one such
parabola is given below.
The height of each fountain rod above water level is 10 cm. The equation of the
downward-facing parabola representing the water fountain is given by
𝑝(𝑥) = −𝑥
2 + 5𝑥 − 4.
Based on the above information, answer the following questions:
(i) Find the zeroes of the polynomial p(x) from the graph. 1
(ii) Find the value of x at which water attains maximum height.
(iii)(A)
(B)
If h is the maximum height attained by the water stream from the water level of
the pool, then find the value of h.
OR
At what point(s) on x- axis, the height of water above x- axis is 2 m?
captivating pool design that incorporates a unique arrangement of fountains.
The challenge entails arranging the fountains in such a way that when water is
thrown upwards, it forms the shape of a parabola. The graph of one such
parabola is given below.
The height of each fountain rod above water level is 10 cm. The equation of the
downward-facing parabola representing the water fountain is given by
𝑝(𝑥) = −𝑥
2 + 5𝑥 − 4.
Based on the above information, answer the following questions:
(i) Find the zeroes of the polynomial p(x) from the graph. 1
(ii) Find the value of x at which water attains maximum height.
(iii)(A)
(B)
If h is the maximum height attained by the water stream from the water level of
the pool, then find the value of h.
OR
At what point(s) on x- axis, the height of water above x- axis is 2 m?
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Q37 Radha, an aspiring landscape designer, is tasked with creating a visually captivating pool de
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