# Quadratic Equations Case Study Based Questions 01 Term II

## Case Study Questions 01

Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj’s car travels at a speed of x km/h while Ajay’s car travels 5 km/h faster than Raj’s car. Raj took 4 hours more than Ajay to complete the journey of 400 km.

1. What will be the distance covered by Ajay’s car in two hours?

(a) 2(x + 5) km
(b) (x – 5) km
(c) 2(x + 10) km
(d) (2x + 5) km

(a) 2(x + 5) km

2. Which of the following quadratic equations describes the speed of Raj’s car?

(a) x^{2}-5x-500=0
(b) x^{2}+4x-400=0
(c) x^{2}+5x-500=0
(d) x^{2}-4x+400=0

(c) x^{2}+5x-500=0

3. The roots of the quadratic equation which describe the speed of Raj’s car are

(a) 15, – 20
(b) 20, – 15
(c) 20, – 25
(d) 25, – 25

(c) 20, – 25

4. Which of the following quadratic equations has 2 as a root?

(a) x^{2}-4x+5=0
(b) x^{2}+3x-12=0
(c) 2x^{2}-7x+6=0
(d) 3x^{2}-6x-2=0

(c) 2x^{2}-7x+6=0

5. The positive root of \sqrt{3x^{2}+6}=9 is

(a) 5
(b) –5
(c) 3
(d) –3

(a) 5

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