Question

20.
Line of Symmetry
x-intercepts
4
6
2
Vertex
y-intercept
A park has swings made of rubber and iron chain. Sachin who is studying in class X
have noticed that this is a Mathematical shape, he has learned in Maths class.
Following questions raised in his mind. Answer the questions by observing both
pictures :
(i)
Name the shape in which the wire is bent,
a) Spiral b) ellipse
c) linear
d) Parabola
(ii)
How many zeroes are there for the polynomial (shape of the wire)?
a) 2
d) 0
b) 3
c) 1
The zeroes of the polynomial are
b)-1,3
a) -1,5
c) 3,5
d) -4,2
(iv)
What will be the expression of the polynomial?
a) x²+2x-3 b)x² -2x +3 C) x² - 2x-3
d) x²+2x+3
(v)
What is the value of the polynomial if x = 1?
a) -4
b) 5
c)-5
d) 6​

Answer 1

bla blah blah blah blah blah

Answer 2

Step-by-step explanation:

(i) (d) parabola

(ii) (a) 2

(iii) since parabola intersect x-axis at 2 points. at -1 and 3. so,(b)

(iv) since,x= -1 and x=3

=> (x+1)=0 => (x-3)=0

so,factors are (x+1) and (x-3).

so, the polynomial is (x+1)(x-3)=0

x²-3x+x-3=0

x²-2x-3=0.

so, (c) is the right ans.

(v) if p(x) = x²-2x-3

p(x=1)=1²-2×1-3

p(x=1)= -4

so,right ans. is (a).