Seema is studying in class X. She visited the Metro station several times. One day she noticed
the roof of the Metro Station. She observed that the roof is formed in a Mathematical shape,
that she has learned in Maths class. On reaching home, Seema draws the following graph of
the figure:
(i) Seema shows the roof of the metro station in which shape?
(a) Spiral (b) ellipse (c) linear (d) Parabola
ii) How many zeroes are possible for this shape?
(a) 2 (b) 3 (c) 1 (d) 0
iii) In the graph, the zeroes of the polynomial are:
(a) –2, 2 (b) 0, 2 (c) 2, 0 (d) 0, 0
iv) What will be the expression of the polynomial?
(a) x
2
– 4x + 4 (b) –x
2
– 4x + 4 (c) x
2 + 4x + 4 (d) x
2
– 4
(v) What will be the expression of the polynomial?
(a) x
3 + 2x
2
– 5x – 6 (b) x
3 + 2x
2
– 5x + 6
(c) x
3 + 2x
2 + 5x – 6 (d) x
3 + 2x
2 + 5x + 6
Answers
Solution :-
(i) Shape of the roof of the metro station is (d) Parabola .
(ii)
→ Possible zeros for given shape are = where graph cuts at x - axis = (-2 , 2) = Total 2 (a)
(iii)
→ The zeroes of the polynomial are = (-2, 2) (a)
(iv)
→ Expression of the polynomial = x² - (sum of zeros)x + product of zeros = x² - (-2 + 2)x + (-2) * 2 = x² - 0x - 4 = x² - 4 (d)
(v)
→ Value of polynomial at x = 1 is = x² - 4 = (1)² - 4 = 1 - 4 = (-3) (c)
Learn more :-
19. Embroidery on cloth
Meera embroidered a leaf by
knitting on her table cloth. Her
son traced the design on a
coordina...
https://brainly.in/question/34722753
u par LARKI TWAR
17. Mapping of Village: A patwari decides to map his native village by assigning coordinates to each ho...
https://brainly.in/question/33329177
Three girls Rani, Mansi and Sneha are talking to each other and maintaining a social distance due to COVID-19. They are ...
https://brainly.in/question/33571589
