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UPSKILL MATH PLUS

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Subjects
Mathematics CBSE
Class 10
Quadratic Equations
Nature of Roots

12. Case study: Nature of roots

Exercise condition:

5 m.

Neeraj and Hrithik went to a nearby pizza shop for lunch. The shop had a unique method for the price allotment of pizza every day. The price of each pizza they prepare on a specific day is equal to 4 more than twice the total number of pizzas they produced on that day. The total cost of production on that day was 390 rupees.

1. The quadratic equation for the given situation is:

$2 x^{2} - 4 x + 390 = 0$
$2 x^{2} - 4 x - 390 = 0$
$2 x^{2} + 4 x - 390 = 0$
$2 x^{2} + 4 x + 390 = 0$

2. Find the number of pizzas produced.

11
13
16
14

3. Find the cost of each pizza.

30
33
29
25

4. The general form of the quadratic equation:

\(ax^2 - bx + c = 0\)
\(ax^2 + bx + c = 0\)
\(ax^2 + bx = c\)
\(ax^2 + ax + c = 0\)

5. If the nature of roots are not real, then:

\(b^2 - 4ac = 0\)
\(b^2 - 4ac \le 0\)
\(b^2 - 4ac < 0\)
\(b^2 - 4ac > 0\)

Reference:

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