Question

Case Study Based-1
Junk food is unhealthful food that is high in calories from sugar or fat, with little dietary fibre, protein, vitamins, minerals, or other important forms of nutritional value. A sample of few students have taken. If α be the number of students who take the junk food,β be the number of students who take healthy food such that α > β and α and β are the zeroes of the quadratic polynomial f(x) = x 2 − 7x + 10,then answer the following questions:

(i) Name the type of expression of the polynomial in the above statement?
(a) Quadratic
(b) Cubic
(c) Linear
(d) Bi quadratic

(ii) Find the number of students who take junk food.
(a) 5
(b) 2
(c) 7
(d) None of these.

(iii) Find the number of students who take healthy food.
(a) 5
(b) 2
(c) 7
(d) None of these.

(iv) Find the quadratic polynomial whose zeroes are -3 and -4.
(a) x
2 + 4x + 2
(b) x
2 − x − 12
(c) x
2 − 7x + 12
(d) None of these

(v) If one zero of the polynomial x 2 − 5x + 6 is 2 then find other zero.
(a) 6
(b) -6
(c) 2
(d) None of these​

Answer 1

Answer:

1. a. quadric
2. d. none of the above
3. c. 7
4. a. x2+4x+2
5. b. -6

Answer 2

$-4$The correct answers are:

(1)quadratic

(2)5

(3)2

(4)none of these

(5)none of these

Explanation: $x^{2}-7x+10=0$ is a quadratic equation,because it is a 2 degree polynomial.

the roots of $x^{2}-7x+10=0$ are 5 and 2

therefore the number of student who take junk food are 5.

and who take healthy food are 2.

(4)polynomial with zeroes $-3$ and $-4$.

is $(x-(-3))*(x-(-4))=(x+3)*(x+4)$=$x^{2}+7x+12$..

(5) we know $\alpha *\beta$=c/a

therefore $2$*$\beta$=6/1

$\beta$=6/2=3..